Question

30 In right triangle PRT, m/P = 90°, altitude PQ is drawn to hypotenuse RT. RT = 17, and

Answer 1

Using the cosine ratio formula, the length of RQ to the nearest tenth is: 13.2.

What is the Cosine Ratio Formula?

The cosine ratio formula is given as, cos ∅ = length of adjacent side / length of hypotenuse.

Find m∠PRT in ΔPRT using the cosine ratio formula:

cos(m∠PRT) = 15/17

m∠PRT = cos^(-1)(15/17)

m∠PRT ≈ 28.07°

Find RQ in ΔPRQ using the cosine ratio formula:

cos(28.07) = RQ/15

RQ = cos(28.07) × 15

RQ ≈ 13.2

Learn more about the cosine ratio formula on:

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