Question

A right triangle has two acute angles, θ and ϕ , so that cosϕ=x+0.2 and sinθ=2x−0.5 . What is the value of x?(1 point)
Responses

0.07
0.07

1
1

10
10

0.7

Answer 1

In a right triangle the acute angles are complementary, so sinθ = cosϕ. Thus
x + 0.2 = 2x − 0.5 ⇒ 0.7 = x.
So x = 0.7.