Question

PLZ ANSWER QUICK-MATH TRIG

In ΔFGH, the measure of ∠H=90°, the measure of ∠F=18°, and HF = 9.2 feet. Find the length of FG to the nearest tenth of a foot.

Answer 1

Answer:9.7

Explanation:

Cos 18= 9.2/X

Cross multiple

Divided each side by 18

9.2/cos18

Answer 2

FG = 9.7ft

Explanation:

Find the diagram in the attachment.

The diagram is a right angled triangle since one of its angle is 90°

Using SOH CAH TOA to calculate the length FG which is the hypotenuse.

According to SOH

Sin∠G = Opposite/Hypotenuse

To get the ∠G,

∠F+∠H+∠G = 180°

18°+90°+∠G = 180°

∠G = 180°-108°

∠G = 72°

Sin72° = 9.2/FG

FG = 9.2/sin72°

FG = 9.67feet

FG = 9.7ft (to the nearest tenth of a foot)