Question

In ΔFGH, the measure of ∠H=90°, FG = 9.9 feet, and HF = 1.4 feet. Find the measure of ∠F to the nearest tenth of a degree.

Answer 1

81.9

Explanation:

In ΔFGH, the measure of ∠H=90°, FG = 9.9 feet, and HF = 1.4 feet. Find the measure of ∠F to the nearest tenth of a degree.

F

G

H

1.4

9.9

(adjacent to ∠F)

(opp. of ∠F)

(hypotenuse)

x°

What function uses the HYPOTENUSE and the ADJACENT?\text{What function uses the HYPOTENUSE and the ADJACENT?}

What function uses the HYPOTENUSE and the ADJACENT?

SOH-CAH-TOA\text{SOH-CAH-TOA}

SOH-CAH-TOA

cos⁡F=adjacenthypotenuse=1.49.9\cos F = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{1.4}{9.9}

cosF=

hypotenuse

adjacent

​

=

9.9

1.4

​

cos⁡F=1.49.9\cos F = \frac{1.4}{9.9}

cosF=

9.9

1.4

​

F=cos⁡−1(1.49.9)F=\cos^{-1}(\frac{1.4}{9.9})

F=cos

−1

(

9.9

1.4

​

)

F=81.8703≈81.9∘F=81.8703\approx 81.9^{\circ}

F=81.8703≈81.9

∘

Type into calculator and round to the nearest tenth of a degree.

F

G

H

1.4

9.9

(adjacent to ∠F)

(opp. of ∠F)

(hypotenuse)

81.9°

Answer 2

81.9 °

Explanation: