Question

From the top of the tower 30 m height a man is observing the base of a tree at an angle of depression measuring 30 degree. Find the distance between the tree and the tower.​

Answer 1

Answer:

The distance between the tree and the tower is 51.96 metres.

Answer 2

Answer:

Given Data:

Angle of Depression= 30°.

Height of Tower = 30 meter.

From the above given data we have to find the length or distance between Tower and Tree.

Here, we can use basic trigonometry.

tan ∆ = (Opposite side) ÷ (Adjacent side)

Here, ∆ angle = 30°

Opposite side= Tower height = 30 meter

Adjacent side = Distance between the tower and tree= assume it as D meter

= tan 30= 30÷ D

= 0.577× D= 30

= D = 30÷ 0.577

= D= 51.96 m.

Distance between the tower and tree = 51.96 meter.