In ΔFGH, the measure of ∠H=90°, the measure of ∠F=18°, and GH = 9.4 feet. Find the length of HF to the nearest tenth of a foot.

HF=28.9 feet.

Step-by-step explanation:

-ΔFGH is a right triangle.

-A right triangle has two complimentary acute angles:

∠G=90°-∠F=90°-18°=72°

#We notice that ∠F=18° corresponds to the length GH=9.4 ft, and ∠G to length HF.

#Apply Pythagorean Theorem to solve for HF:

Hence, the length HF=28.9 feet.

7,24

step-by-step explanation: