Question

The horizontal shadow of a vertical tree is 23.4 m long while the angle of elevation to the sun is 56.3°. How tall is the tree? Round to the nearest meter.

Answer 1

Step-by-step explanation:

Given

length of shadow
`L=23.4\ m`

angle of elevation to the sun
`\theta =56.3^(\circ)`

Suppose height of tree is h

using trigonometric relation

`\tan \theta =(h)/(L)`

`\tan (56.3)=(h)/(23.4)`

`h=23.4\tan (56.3)`

`h=35.08\ m`