Question

In ADEF, the measure of measure of ZD to the nearest degree.

E
52
X
F
D
14

Answer 1

74 degrees

Explanation:

Assuming we have the following

FD = 14

DE = 52

m<F = 90degrees

Required

m<D

DE = hypotenuse

FD = adjacent

Using the SOH CAH TOA identity

Cos m<D = adj/hyp

Cos m<D = 14/52

m<D = arccos(0.2692)

m<D = 74.38

m<D to the nearest degree is 74degrees