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

0.7
0.7

0.07
0.07

1
1

10

Answer 1

Since θ and ϕ are acute in a right triangle, θ + ϕ = 90°, so sinθ = cosϕ.
Set 2x − 0.5 = x + 0.2 → x = 0.7.

Answer: 0.7