What is the measure of angle p?

Question

Noah Atkinson · Accepted Answer

See explanation.

We have all sides of the triangle, so we can calculate the trigonometric function value of angle #P#: The angle is

Mason Adams · Answer

67.38

Since #triangle PQR# is a right-angled triangle, we can use the cosine or sine or tan rule to find the #angle P# (1) Sine #sin angleP = "opposite"/"hypotenuse" = 12/13# #angle P = sin^(-1)(12/13) = 67.38# (2) Cosine #cos angle P = "adjacent"/"hypotenuse" = 5/13# #angle P = cos^(-1)(5/13) = 67.38# (3) tan #tan angleP = "opposite"/"adjacent" = 12/5# #angleP = tan^(-1)( 12/5) = 67.38# Hence, you can see that whichever rule you use, you will always get the same answer!

Sophia Alfred · Answer

undefined To determine the measure of angle $ p $, more information is needed, such as the context of the problem or additional angles provided in a diagram or description. Without this information, it is not possible to calculate the measure of angle $ p $.