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

0.07
0.07

0.7
0.7

10

Answer 1

In a right triangle θ and ϕ are complementary, so sinθ = cosϕ. Set x + 0.2 = 2x − 0.5. Solving gives 0.7 = x. So x = 0.7.