Height and Distance MCQs For Math MCQs
If the height of a pole is 2√3 meters and the length of its shadow is 2 meters, find the angle of elevation of the sun.
A. 50°
B. 60°
C. 70°
D. 80°
Let AB be the pole and AC be its shadow. Let the angle of elevation, ∠ACB = θ. Then, AB = 2√3m, AC = 2 m. tan θ = AB/AC = 2√3/2 = √3 θ = 60°. So, the angle of elevation is 60°
The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is:________?
A. 30°
B. 45°
C. 60°
D. 90°
Let AB be the tree and AC be its shadow.
Let ∠ACB = θ.
Then, AC/AB = √3
Cot θ = √3
θ = 30°
From point P on level ground, the elevation angle of a tower’s top is 30°. If the tower is 100 m high, the distance of point P from the foot of the building is:_________?
A. 149 m
B. 156 m
C. 173 m
D. 200 m
Let AB be the tower. Then, ∠APB = 30° and AB = 100 m, AB/AP = tan 30° = 1/√3 AP = (AB X √3)= 100√3 m. = (100 X 1.73) m = 173 m.