Question

In triangle FGH, with H = 90°, FG = 9.9 feet, and HF = 1.4 feet, find the measure of angle ZF to the nearest tenth of a degree.

Answer 1

The measure of angle ZF in triangle FGH is approximately 8.1 degrees.

Step-by-step explanation:

To find the measure of angle ZF in triangle FGH, we can use the trigonometric relationship between the sides of a right triangle. Since angle H is 90 degrees, triangle FGH is a right triangle. We can use the tangent function to find the measure of angle ZF:

tan(ZF) = HF / FG

tan(ZF) = 1.4 / 9.9

ZF = arctan(1.4 / 9.9)

ZF ≈ 8.1 degrees