Question

if a tower of 30 m high casts a shadow at an angle 60° find the length of the shadow on the ground​

Answer 1

Given :-

• A tower of 30 m high casts a shadow at an angle 60°.

To Find :-

• The length of the shadow on the ground.

Solution :-

We have, a 30 m high tower forming shadow at ground whuch is the base .

Angle formed is 60° between perpendicular hieght of tower & base hieght of the shadow formed.

We knew that,

➝ tan θ = $\dfrac{perpendicular }{base \:}$

➝ tan 60° = $\dfrac{30 }{base \:}$

We know that , tan 60 = √3

➝ √3 = $\dfrac{30 }{base \:}$

➝ base = $\cancel {\dfrac{30}{ \sqrt{3} }}$

➝ base = 17.33 m

Hence, The length of the shadow on the ground is 17.33 m .