Height and Distance questions for competitive exams. Height and Distance questions with Solutions pdf for GATE, FPSC, NTS, IBA STS Past Papers, OTS, KPPSC, PMS, CSS, police, army, navy. Height and Distance practice Questions PDF and Height and Distance practice Questions PDF. basic mathematics mcqs.

## If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun ?

A. 70°

B. 80°**C. 60°**D. 50°Let AB be the pole and AC be its shadow. Let 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°

## Top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electric pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole?

**A. 10 metres**B. 12 metres

C. 5 metres

D. 8 metres## Angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is : ____ ?

**A. 9.2 m**B. 7.8 m

C. 2.3 m

D. 4.6 m## From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is : ______ ?

A. 200 m

**B. 173 m**C. 149 m

D. 156 mDetailed Solution The distance between P from foot of tower is PB. ⇒ PB =

**173 m**(approx). ∴ The distance between P from foot of tower is 173 m.## 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. 60°

B. 90°**C. 30°**D. 45°Let AB be the tree and AC be its shadow.

Let ∠ACB = θ.

Then, AC/AB = √3

Cot θ = √3

θ = 30°