Question

Solve the right triangle.
Round your answers to the nearest tenth.

Answer 1

Explanation:

Sum of all the angles is 180

<A + 90 + 50 = 180

<A + 140 = 180

<A = 40

Use cos x = adjacent side/hypotonuse

Use 50 as your reference angle

cos 50 = 19/c >cross multiply

c cos 50 = 19 >divide both sides by cos 50 to solve for c

c= 19/cos 50 >plug in

c=29.6

Now use tan x = opposite side/ adjacent side

Use 50 as your reference angle

tan 50 = b/19 >multiply both sides by 19

b= 19 tan 50 >plug in

b= 22.6