Question

What is the measure of ∠R to the nearest degree?t A. 33° B. 35° C. 36° D. 40°

Answer 1

∠R=35.1°

Explanation:

Remember the trigonometry concept.

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Which represents Sin∅ = p/h, Cos∅ = b/h, Tan∅= p/b.

The letters stand for:

h- hypotenuse which is the side opposite to the right angle.

b- The side which has two angles.

p- The other side which is between the hypotenuse and base.

I will label everything in the triangle for you to understand.

Now QR is the base because we have to find ∠R which means that QR is base. The hypotenuse and the base are given. Using the trigonometry concept, we can construct an equation:

Cos ∠R= base/hypotenuse

Cos ∠R= 9/11

∠R=
`Cos^(-1)`(9/11) (when we are finding the angle shifting any trigonometric function will change into inverse the power to -1. This only applies to finding an angle.)

∠R= 35.09680123= 35.1°