Question

In △PQR, find the measure of ∡P. Triangle PQR where angle Q is a right angle. PQ measures 33 point 8. PR measures 57 point 6. Measure of angle P is unknown

Answer 1

The answer is angle P approximately 54 Degrees.
Steps: find angle for R then subtract both known angles to get P.

Answer 2

Answer: 54.07° ( Approx)

Explanation:

Here PQR is a right triangle,

In which PQ = 33.8 unit and PR = 57.6 unit

m∠PQR = 90°

Since, by the below diagram,

`cos P = (PQ)/(PR)`

`cos P = (33.8)/(57.6)`

`cos P = 0.58680555555`

`P = cos ^(-1)(0.58680555555)`

`P = 54.0693530923\text{ degree}\approx 54.07^(\circ)`