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

10
10

0.7
0.7

1
1

0.07

Answer 1

Since θ and φ are complementary, sinθ = cosφ. So set x + 0.2 = 2x − 0.5. Solving gives x = 0.7.