A right triangle has two acute angles. θ and Ø, so that cos Ø=x+0.2 and sin θ=2x-0.5. what is the value of x?
0.7 or 0.07
To solve this problem, we will use the trigonometric identity of a right triangle which states that the cosine of one acute angle is equal to the sine of the other acute angle.
Given that cos Ø = x + 0.2 and sin θ = 2x - 0.5, we can set up an equation using the trigonometric identity cos Ø = sin θ:
x + 0.2 = 2x - 0.5
To solve for x, we can simplify the equation:
0.2 + 0.5 = 2x - x
0.7 = x
Therefore, the value of x is 0.7, not 0.07.