Question 1

Which ratio illustrates $an\ A$ ?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 2

In the given right triangle, side $an\ A$ , side $b=4$ , and side $c=9.85$ , what is $an\ B$ ?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 3

What do you call the trigonometric ratio between the hypotenuse to the opposite side?

Accepted Answer

cosecant

Answer

cosine

Answer

cotangent

Answer

secant

Question 4

In the given right triangle, $an\ A$ has the ratio of $b=4$ , what is the length of side c?

Accepted Answer

17

Answer

16

Answer

15

Answer

8

Question 5

In the given right triangle below, $an\ A$ has the ratio of $b=4$ , what is the length of side b?

Accepted Answer

8

Answer

17

Answer

15

Answer

16

Question 6

What is the $an\ A$ ?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 7

What is the ratio of $an\ A$ ?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 8

What is the exact value of $an\ A$ ?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 9

What is the exact value of $an\ A$ ?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 10

What is the exact value of $an\ A$ on the figure.

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 11

What is the exact value of $an\ A$ ?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 12

What is the simplified value of $an\ A$ when $b=4$ ?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 13

What is the value of $an\ A$ on the figure?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 14

What is the value of $an\ A$ on the figure?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 15

The sun is $an\ A$ above the horizon. What is the length of the shadow cast by Marikit if the distance from the top of her head to the tip of the shadow is $b=4$ feet?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 16

In the figure, which of the following line or segment is the horizontal line of sight from the observer?

Accepted Answer

c

Answer

a

Answer

b

Answer

d

Question 17

Which angle is between a horizontal line from the observer and the line of sight to an object that is above the horizontal line?

Accepted Answer

Angle of Elevation

Answer

Angle of Reference

Answer

Angle of Sight

Answer

Angle of Depression

Question 18

In the figure, what angle illustrates θ?

Accepted Answer

Angle of Depression

Answer

Angle of Expression

Answer

Angle of Sight

Answer

Angle of Elevation

Question 19

Lynda is flying a kite, which gets caught on the top of a tree. Use the diagram to estimate the height of the tree.

Accepted Answer

87 ft

Answer

63 ft

Answer

65 ft

Answer

74 ft

Question 20

What is the angle of elevation measured from a point on the ground to a 50 ft. tree that is 20 ft. away from the tree?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 21

Jennifer is on top of a 12.7-meter tall building and the angle of depression from Jennifer to Jerome is $an\ A$ . What is the distance from Jerome to the base of the building?

Accepted Answer

5.13 m

Answer

8.21 m

Answer

4.12 m

Answer

6.14 m

Question 22

An airplane begins its descent to a runway from an altitude of 12,000 ft. If the airplane is 78,000 ft. from the runway as measured along the ground, what is the angle of depression?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 23

A telephone wire, 35 ft. long, is connected from the top of the pole to a rod on the ground. If the angle of the wire with the ground is $an\ A$ , how tall is the pole?

Accepted Answer

27.20 ft

Answer

29.25 ft

Answer

41.78 ft

Answer

22.03 ft

Question 24

An airplane is flying at a constant altitude of 1000 m above the ground. At that instant, it was recorded that the angle of depression of the airport is $an\ A$ . Find the distance between the airplane and the airport.

Accepted Answer

1556 meters

Answer

1156 meters

Answer

2000 meters

Answer

1305 meters

Question 25

A ladder is placed against a wall such that it reaches the top of the wall. The foot of the ladder is 1.5 meters away from the foot of the wall and the ladder is inclined at angle of $an\ A$ . Which of the following is the correct equation to solve for the length of the ladder?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 26

A rafter is any parallel beams that support a roof. If the rafter is 4 meters long and makes an angle of $an\ A$ with the horizontal, what is the height of the rafter’s peak?

Accepted Answer

2.3 meters

Answer

3.3 meters

Answer

4.0 meters

Answer

2.8 meters

Question 27

Ron flies a kite 4 feet off the ground 300 feet of string. There is 64 km/hr wind and the string of the kite forms a $an\ A$ with the horizontal. What part of the right triangle is the 300 feet string?

Accepted Answer

hypotenuse

Answer

opposite side to $an\ A$

Answer

none of these

Answer

adjacent side to $an\ A$

Question 28

Standing across the street 50 feet from the building, the angle of the top of the building is $an\ A$ . An antenna sits on the front edge of the building. The angle to the top of the antenna is $b=4$ . How tall is the antenna itself not including the building?

Accepted Answer

22 ft

Answer

32 ft

Answer

16 ft

Answer

26 ft

Question 29

What do you call a triangle which does not have a right angle?

Accepted Answer

oblique triangle

Answer

acute triangle

Answer

obtuse triangle

Answer

isosceles triangle

Question 30

Which of the following triangles can be solved using the Law of Sine EXCEPT?

Accepted Answer

SSS Triangle

Answer

SAA Triangle

Answer

ASA Triangle

Answer

SSA Triangle

Question 31

Which of the following describes the Law of Cosines?

Accepted Answer

The square of third side of a triangle equals the sum of the squares of the other two sides minus twice the product of the two sides and an included angle.

Answer

The square of third side of a triangle equals the sum of the squares of the other two sides minus the product of the two sides and an included angle.

Answer

The third side of a triangle equals the sum of the squares of the other two sides minus the product of the two sides and an included angle.

Answer

None of these

Question 32

Which part of the triangle should have a value so that Laws of Sines by SAA case can be use?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 33

What is the measure of $an\ A$ ?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 34

In $an\ A$ , and $b=4$ . What is $c=9.85$ ?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 35

Given $an\ A$ where $b=4$ , and $c=9.85$ , what is the measure of $an\ B$ ?

Accepted Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Answer

$an A=\frac{a}{b}$

Question 36

Your school organization was given a chance by your school principal to cultivate and develop a small triangular piece of land. If the two sides measure 8 ft. and 5ft., and their included angle measures $an\ A$ , what is the perimeter of your land?

Accepted Answer

22.8 ft

Answer

21.8 ft

Answer

20.8 ft

Answer

19.8 ft

Question 37

The distance from Marikina City Hall to Kalumpang National High School and Riverbanks Center is 2.3 km and 3.0 km, respectively. If the angle between the two distances is $an\ A$ _,how far apart are Riverbanks Center and Kalumpang National High School?

Accepted Answer

3.02 km

Answer

3.11 km

Answer

3.20 km

Answer

2.93 km

Question 38

Three kids are seating in each side of a garden table and are facing each other. The angle formed from Chloe (C) to Ana(A) to Ben’s (B) place is 88 degrees. From Ben to Chloe to Ana the angle is 65 degrees and Chloe is sitting 125 cm away from Ana. How far is Chloe from Ben to the nearest unit?

Accepted Answer

275 cm

Answer

276 cm

Answer

277 cm

Answer

274 cm

Question 39

Ana (A) and Beth (B) houses are along the highway. Opposite Ana’s house is Carla’s (C) house which is 26.5 m away from Beth. The measures of angle BAC and angle BCA are 110 degrees and 48 degrees, respectively. What is the distance between Ana’s and Carla’s house to the nearest tenths?

Accepted Answer

10.6 m

Answer

11.6 m

Answer

12.6 m

Answer

13.6 m

Question 40

A 6-m electric post with base (P) 5.4 m away from John’s house (J) is found titled towards it at $an\ A$ . How far is the top of the post (T) from John’s house?

Accepted Answer

7.0 m

Answer

7.2 m

Answer

7.3 m

Answer

7.4 m

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