Question

In ΔEFG, the measure of ∠G=90°, FG = 5.1 feet, and GE = 7.7 feet. Find the measure of ∠F to the nearest tenth of a degree.

Answer 1

∠F=56.5⁰

Explanation:

It forms a right angled triangle.

The base of the triangle is given as 7.7 feet

The perpendicular of the triangle is given as 5.1 feet.

Find ∠E where

tan∠E=perpendicular/base

tan∠E=7.7/5.1

∠E=33.518

Find ∠F by substracting ∠G and ∠E from 180,

∠F=180-90-33.518

∠F=56.482

Round off to nearest tenth

∠F=56.5