Question

Please help me!! What is the measure of angle D to the nearest degree?

a. 47*
b. 62*
c. 72*
d. 75*

Answer 1

use sine rule

(sinD)/54=(sin71)/70

so sinD=0.73367073251

so, D= arcsin(0.73367073251)=47.195

go with option a

Answer 2

Option A. 47°

Explanation:

In the given triangle as per sine rule

sin F/DE = sin D/54

sin 71/70 = sin D/54

sin D = (54×sin 71)/70 = 54×0.9455/70 = 51.06/70 = 0.729

`D=sin^(-1)(0.729)=46.80`

Therefore Option A. angle D = 47° is the answer.