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In ΔDEF, the measure of ∠F=90°, DE = 91 feet, and FD = 59 feet. Find the measure of ∠D to the nearest degree.

2 Answers

9 votes

Answer:

Step-by-step explanation: I need help now pls

User Dlemstra
by
5.3k points
6 votes

Answer:

50

Explanation:

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\cos D = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{59}{91}

cosD=

hypotenuse

adjacent

=

91

59

\cos D = \frac{59}{91}

cosD=

91

59

D=\cos^{-1}(\frac{59}{91})

D=cos

−1

(

91

59

)

D=49.583\approx 50^{\circ}

D=49.583≈50

Type into calculator and round to the nearest degree.

D

E

F

59

91

(adjacent to ∠D)

User Bill Sambrone
by
4.6k points