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.

Question

asked Sep 23, 2021 36.2k views

1 Answer

Jeremy Moritz · Answer 1 · 2021-09-27T15:31:36+0000

Answer:

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

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

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

$h=23.4\tan (56.3)$

$h=35.08\ m$