Question

HELP ASAP!! 10 POINTS GIVEN!

Answer 1

`\theta = tan^(-1)((7)/(4))`

is the required expression.

Explanation:

Given:

Δ PQR is a Right Angle Triangle at ∠ Q =90°

PQ = 7cm

QR =4 cm

Let m∠ R = θ

To Find:

m∠ R = θ = ?

Solution:

In a Right Angle Triangle Δ PQR we have Tangent Identity as

`\tan R= \frac{\textrm{side opposite to angle R}}{\textrm{side adjacent to angle R}}\\\\\tan \theta=(PQ)/(QR)\\\\`

substituting the given values we get the required expression

`\tan \theta=(7)/(4)\\\\\therefore \theta = tan^(-1)((7)/(4))`

Which is the required Expression