What is the measure of angle p?

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Answer 1 · 2018-05-30T07:04:39

See explanation.

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

#sinP=12/13~~0.9231#

The angle is

Answer 2 · 2018-05-30T07:05:28

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!