Question

In right angled triangle PQR if hypotenuse PR is equal to 12 PQ is equal to 6 then what is the measure of angle P​

Answer 1

Answer:

30°

Step-by-step explanation:

PR = 12 units

PQ = 6 units

THEREFORE , Sin P = PQ / PR

=> Sin P = 6/12

=> Sin P = 1/2

=> Sin P = Sin 30°

=> Angle P = 30°

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Answer 2

Measure of angle P is 60°

Step-by-step explanation:

From the figure attached,

ΔPQR is a right angle triangle in which side PQ = 6 units and side PR = 12 units.

We have to calculate the measure of ∠P.

By cosine rule in the triangle,

$cosP=\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{PQ}{PR}$

cosP = $\frac{6}{12}$

cosP = $\frac{1}{2}$

P = $cos^{-1}(\frac{1}{2})$

P = 60°

Therefore, m∠P = 60° is the answer.

Learn more about cosine rule from

https://brainly.in/question/13170336