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

Respuesta :

The answer is angle P approximately 54 Degrees.
Steps: find angle for R then subtract both known angles to get P.
Ver imagen D4B3STP30P1E
Ver imagen D4B3STP30P1E

Answer:  54.07° ( Approx)

Step-by-step 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,

[tex]cos P = \frac{PQ}{PR}[/tex]

[tex]cos P = \frac{33.8}{57.6}[/tex]

[tex]cos P = 0.58680555555[/tex]

[tex]P = cos ^{-1}(0.58680555555)[/tex]

[tex]P = 54.0693530923\text{ degree}\approx 54.07^{\circ}[/tex]

Ver imagen parmesanchilliwack