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

1
1

0.7
0.7

10
10

0.07

Answer 1

Because θ and ϕ are complementary, sinθ = cosϕ. So
x + 0.2 = 2x − 0.5 ⇒ 0.7 = x.

Answer: 0.7