Grade 9 Q4M4

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Q 1/10
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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 wall and the ladder is inclined at angle 50^o.
Which of the following is the correct equation to solve for the length of the ladder?
29
$\cos\ 50^{o\ }=\ \frac{1.5\ m}{x}$
$\sin\ 50^{o\ }=\ \frac{x}{1.5\ m}$
$\tan\ 50^{o\ }=\ \frac{x\ }{1.5\ m}$
$\cos\ 50^{o\ }=\ \frac{x}{1.5\ m}$

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10 questions

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Q1
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 wall and the ladder is inclined at angle 50^o.
Which of the following is the correct equation to solve for the length of the ladder?
$\cos\ 50^{o\ }=\ \frac{1.5\ m}{x}$
$\sin\ 50^{o\ }=\ \frac{x}{1.5\ m}$
$\tan\ 50^{o\ }=\ \frac{x\ }{1.5\ m}$
$\cos\ 50^{o\ }=\ \frac{x}{1.5\ m}$
30s
Q2
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 wall and the ladder is inclined at angle 50^o.
How long is the ladder?
1.15 m
2.33 m
1.79 m
0.96 m
30s
Q3
A rafter is any parallel beams that support a roof? If the rafter is 4 meters and has an angle of 35^owith the horizontal, what is the height of the rafter's peak?
Which of the following triangles best describes the given problem?
30s
Q4
A rafter is any parallel beams that support a roof? If the rafter is 4 meters and has an angle of 35^owith the horizontal, what is the height of the rafter's peak?
What is the height of the rafter's peak?
3.3 m
2.3 m
2.8 m
3.8 m
30s
Q5
Marikit-na is a female statue in Marikina River park with a height of 40 ft. The shadow of the state on the ground formed is of the same length as its height. What is the measurement of the angle formed from the top of the statue to the tip of the shadow?
What is the appropriate trigonometric ratio to be used to solve the problem?
sine
tangent
cosecant
cosine
30s
Q6
Marikit-na is a female statue in Marikina River park with a height of 40 ft. The shadow of the state on the ground formed is of the same length as its height. What is the measurement of the angle formed from the top of the statue to the tip of the shadow?
60^o
45^o
75^o
30^o
30s
Q7
Ron flies a kite,4 feet off the ground, with 300 feet of string. Due to the wind and the string of the kite forms a 29^owith the horizontal.
What part of the triangle is the 300 ft-string?
hypotenuse
opposite side to 29^o
none of these
adjacent side to 29^o
30s
Q8
Ron flies a kite,4 feet off the ground, with 300 feet of string. Due to the wind, the string of the kite forms a 29^owith the horizontal.
How high is the kite from the ground?
170.29 ft
145.44 ft
168.29 ft
149.44 ft
30s
Q9
Standing across the street, 50 ft from the building, the angle to the top of the building is 40^o. An antenna sits on the top edge of the building. The angle to the top of the antenna is 52^o.
How high is the building?
42 ft
38 ft
48 ft
32 ft
30s
Q10
Standing across the street, 50 ft from the building, the angle to the top of the building is 40^o. An antenna sits on the top edge of the building. The angle to the top of the antenna is 52^o.
How tall is the antenna?
16 ft
22 ft
32 ft
26 ft
30s

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Grade 9 Q4M4

Quiz by Hannah Jean Rico

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