Answer:
Since
△
P
Q
R
is a right-angled triangle, we can use the cosine or sine or tan rule to find the
∠
P
(1) Sine
sin
∠
P
=
opposite
hypotenuse
=
12
13
∠
P
=
sin
−
1
(
12
13
)
=
67.38
(2) Cosine
cos
∠
P
=
adjacent
hypotenuse
=
5
13
∠
P
=
cos
−
1
(
5
13
)
=
67.38
(3) tan
tan
∠
P
=
opposite
adjacent
=
12
5
∠
P
=
tan
−
1
(
12
5
)
=
67.38
