### Home > A2C > Chapter 13 > Lesson 13.2.2 > Problem13-110

13-110.

A $125$ -foot redwood tree is leaning $20°$ off vertical toward the north. How long will its shadow be when the noon sun is $68°$ above the horizon? (When the sun is 68° above the horizon, the angle the sunlight makes with the ground is $68°$.)

Draw a diagram representing the situation.

Use angle relationships and the Law of Sines to solve for x.

$90° − 20° = 70°\\180° − 70° − 68° = 42°$

$\frac{\text{sin}16°}{125}=\frac{\text{sin}42°}{x}$

$x ≈ 90.21 \text{ feet}$