Question

In a right angled triangle PQR,if the hypotenuse PR=12,PQ=6 then what is measure of angle P .want full solution

Answer 1

The measure of angle P is 60°.

Step-by-step explanation:

It is given that,

Δ PQR is a right-angled triangle where ∠PQR = 90°

Hypotenuse, PR = 12 cm

PQ = 6 cm

Now, applying the trigonometric ratios of a triangle, we get

cos θ = $\frac{base}{hypotenuse}$  

where base is PQ and hypotenuse is PR

Let angle P be denoted as "θ".

Substituting the given values,

cos θ = $\frac{PQ}{PR}$

⇒ cos θ = $\frac{6}{12}$

⇒ cos θ = ½

⇒ θ = cos⁻¹ (½)

⇒ θ = 60° ← the measure of angle P

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