Question 1

Given a 45° by 45° by 90° triangle, what is the measure of the hypotenuse if the leg is 25?

Accepted Answer

25√2

Answer

50

Answer

50√2

Answer

25

Question 2

What is the reciprocal of the cosine value of any angle?

Accepted Answer

secant

Answer

cosine

Answer

cosecant

Answer

tangent

Question 3

Which of the following summarizes the law of sines?

Accepted Answer

$\frac{a}{Sin\ A}=\frac{b}{Sin\ B}=\frac{c}{Sin\ C}$

Answer

sinA = sinB = sinC

Answer

bcsinA = acsinB =absinC

Answer

asinA = bsinB =csinC

Question 4

Which of the statements is incorrect?

Accepted Answer

You can solve for the unknown side of any given triangle if you knowthe lengths of the other two sides by using the Pythagorean theorem .

Answer

The hypotenuse is the longest side in a right triangle

Answer

The PythagoreanTheorem applies to all right triangles.

Answer

The hypotenuse is theside opposite the 90o angle

Question 5

With respect to the given angle, what is the ratio of the hypotenuse to the opposite side?

Accepted Answer

cosecant

Answer

tangent

Answer

sine

Answer

cosine

Question 6

In triangle PQR, what is the lengthof PQ?

Accepted Answer

5cm

Answer

12 cm

Answer

9 cm

Answer

1 cm

Question 7

Which ratio represents csc M in the diagram at the right?

Accepted Answer

$\frac{a}{Sin\ A}=\frac{b}{Sin\ B}=\frac{c}{Sin\ C}$

Answer

$\frac{a}{Sin\ A}=\frac{b}{Sin\ B}=\frac{c}{Sin\ C}$

Answer

$\frac{a}{Sin\ A}=\frac{b}{Sin\ B}=\frac{c}{Sin\ C}$

Answer

$\frac{a}{Sin\ A}=\frac{b}{Sin\ B}=\frac{c}{Sin\ C}$

Question 8

It is the angle formed between the horizontal line of sight and the line of sight to an object above the horizontal line?

Accepted Answer

Angle of elevation

Answer

Angle of depression

Answer

Acute angle

Answer

Obtuse angle

Question 9

In a right triangle PQR, PQ =12cm and QR = 5cm. What is cos R?

Accepted Answer

$\frac{a}{Sin\ A}=\frac{b}{Sin\ B}=\frac{c}{Sin\ C}$

Answer

$\frac{a}{Sin\ A}=\frac{b}{Sin\ B}=\frac{c}{Sin\ C}$

Answer

$\frac{a}{Sin\ A}=\frac{b}{Sin\ B}=\frac{c}{Sin\ C}$

Answer

$\frac{a}{Sin\ A}=\frac{b}{Sin\ B}=\frac{c}{Sin\ C}$

Question 10

The following are cases where the Law of Sines applies, except for one. Which is it?

Accepted Answer

SSS (Side-Side-Side)

Answer

SSA (Side-Side-Angle)

Answer

AAS (Angle-Angle-Side)

Answer

ASA (Angle-Side-Angle)

Question 11

An improvised instrument used to measure the angle of elevation and depression of an object being observed.

Accepted Answer

CLINOMETER

Question 12

A triangle which does not contain any right angle.

Accepted Answer

OBLIQUE TRIANGLE

Question 13

An Angle from the horizontal line of sight of the observer to the line of sight of the object below.

Accepted Answer

ANGLE OF DEPRESSION

Question 14

The side next to the reference angle in a right triangle.

Accepted Answer

ADJACENT SIDE

Question 15

Angles with reference angle of 30°, 45°, or 60°.

Accepted Answer

SPECIAL ANGLES

Question 16

In a right triangle, the Pythagorean Theorem states:

Accepted Answer

$\frac{a}{Sin\ A}=\frac{b}{Sin\ B}=\frac{c}{Sin\ C}$

Answer

$\frac{a}{Sin\ A}=\frac{b}{Sin\ B}=\frac{c}{Sin\ C}$

Answer

$\frac{a}{Sin\ A}=\frac{b}{Sin\ B}=\frac{c}{Sin\ C}$

Answer

$\frac{a}{Sin\ A}=\frac{b}{Sin\ B}=\frac{c}{Sin\ C}$

Question 17

Which trigonometric ratio represents the ratio of the opposite side to the hypotenuse?

Accepted Answer

Sine

Answer

Tangent

Answer

Cosine

Answer

Cosecant

Question 18

Find the hypotenuse of a right triangle with legs 6 and 8.

Accepted Answer

10

Answer

14

Answer

12

Answer

15

Question 19

The Pythagorean Theorem applies to:

Accepted Answer

Right triangles only

Answer

All triangles

Answer

Oblique triangles only

Answer

Acute triangles only

Question 20

A plane is flying at an altitude of 500m. The angle of depression to an observer on the ground is $40\degree$ .What function is used to find the horizontal distance?

Accepted Answer

Tangent

Answer

Sine

Answer

Cosine

Answer

Cotangent

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