Find the value of thetatheta that makes each statement true.
a. sintheta=cos(theta+38).

26 degrees.

Step-by-step explanation:

sin theta = cos (theta + 38)

sin theta = cos theta cos 38 - sin theta sin 38

sin theta + sin theta sin 38 = cos theta cos 38

Using the values of  sin 38 and cos 38:

1.61566 sin theta =  0.78801 cos theta

Divide both sides by cos theta  (remember that tan theta = sin theta/cos theta)

1.61566 tan theta =0.78801

tan  theta = 0.48773

Theta = 26 degrees.

answer is (b.

164 ft2)

a base  

18

b base  

7

h height  

8