From the top of 75 m high tower the angle of...

Home / Arithmetic Ability / Height And Distance / Question

Examveda

From the top of 75 m high tower, the angle of depression of two points P and Q on opposite side of the base of the tower on level ground is $$\theta $$ and $$\phi $$, such that $$\tan \theta = \frac{3}{4}$$ and $$\tan \phi = \frac{5}{8}.$$ What is the distance between the points P and Q?

A. 200 m

B. 220 m

C. 180 m

D. 190 m

Answer: Option B

This Question Belongs to Arithmetic Ability >> Height And Distance

Join The Discussion

Related Questions on Height and Distance

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:

A. 173 m

B. 200 m

C. 273 m

D. 300 m

E. None of these

View Answer

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?

A. 4 √3 units

B. 8 units

C. 12 units

D. Data inadequate

E. None of these

View Answer

The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

A. 2.3 m

B. 4.6 m

C. 7.8 m

D. 9.2 m

View Answer

An observer 1.6 m tall is 20√3 away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:

A. 21.6 m

B. 23.2 m

C. 24.72 m

D. None of these

View Answer

More Related Questions on Height and Distance