Question

if the elevation of sun at given time is 60 degree .at that time length of the shadow cast by tower 142 feet is​

Answer 1

Answer:

43root3

Step-by-step explanation:

let height of tower be x

therefore,tan60^=x/43m (since 142 foot=43m)

or,root3=x/43

or,x=43root3

finally,height of tower is 43root3.

Answer 2

The shadow cast by the tower is 81.983 feet.

Step-by-step explanation:

Given:

        The elevation of the sun at a given time is 60⁰.

            The height of the tower is  142 feet.

Let the value of x be the length of the shadow.

So,

         the length of the shadow can be find by the trigonometry as it forms a right triangle.

                                 ⇒ Cot 60⁰ = $\frac{x}{142}$

                                  ⇒ x = 142 x 0.577

                               ⇒ x = 81.983 feet