Question

In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=20°, and XY = 73 feet. Find the length of ZX to the nearest tenth of a foot

Answer 1

ZX = 68.6 feet

Explanation:

In this question, we are asked to calculate the length of ZX.

please check attachment for diagram of triangle.

Now, we have to use trigonometric identities to get the length xz.

Looking at the triangle, we can see we have the hypotenuse an angle and we are asked to calculate the the adjacent.

The trigonometric identity to use here is the Cosine.

Mathematically, The cosine is the ratio of the adjacent to the hypotenuse.

Cos 20 = xz/73

xz = 73 Cos 20

xz = 73 * 0.939692620786

xz = 68.6 feet