Question

The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the tree, to the nearest tenth of a meter? A. 36.9 m B. 36.7 m C. 35.4 m D. 34.1 m

Answer 1

The tree and the shadow make a right triangle with the tree height opposite the 68 degree angle:

$\tan \theta = \dfrac{h}{s}$

$h = s \tan \theta = 14.3 \tan 68^\circ = 35.3937...$

Choice C