Question

For this triangle...?

Answer 1

The right choice is (A) 0.60

Step-by-step explanation:

As we know

Cosθ = base / hypotenuse

We dont have base so we can find it by Pythagorean Theorem

Hypotenuse² = Base² + height ²

Arranging for Base we get

Base² = 15² - 12²

Base² = 81

Taking square root on both sides

Base = √81 = 9

Now put this in the formula of cosФ

Cosθ = base / hypotenuse

cos θ = 9/15

θ = cos⁻¹ (9/5)

which is 0.06

Answer 2

Answer;

= 0.6

Explanation;

Using Pythagoras theorrem

Base² + height ² = Hypotenuse²

Thus;

Base² = 15² - 12²

= 81

Base = √81 = 9

But; cosine = adjacent/hypotenuse

Hence; cos θ = 9/15

= 0.6