Question

Consider a right angle triangle PQR, if PQ is 27 and QR is 17 then the value of angle P is

Answer 1

Step-by-step explanation:

a right angle of the triangle pqr,27

a right angle of the Qr is 17

the value of angle 27-17=10

A right angle of the 10/180=18

Answer 2

Answer:

The value of ∠$P$ is $32^{0}$.

Step-by-step explanation:

It is given that the triangle $PQR$ is right-angled.

$PR$ is the hypotenuse (since ∆$PQR$ is right angled at $Q$)

$QR$ is the opposite side of ∠$P$ and $PQ$ is the adjacent side for the ∠$P$.

Therefore,

$\frac{QR}{PQ}$ = $\frac{opposite}{adjacent} = tan P$

$\frac{17}{27} = tan P$

$0.62 = tan P$

Therefore ∠$P$ $=tan^{-1} (0.62)$

∠$P = 31.9^0$ ≈ $32.0^0$