MAC 1114 Trigonometry
Section 2.3: Solving Right Triangles
1) In right triangle ABC, A = 35° and c = 14
centimeters. Find a, b, and B.
2) In right triangle ABC, a = 5.45 and b =
3.79. Find the remaining side and angles.
B
14
a
35°
C A
b
B
c
5.45
C A
3.79
3) The circle in Figure 3 has its center at C and
a radius of 12 inches. If triangle ADC is a
right triangle and A is 35°, find x, the distance
from A to B.
4) In figure 4, the distance from A to D is 38
feet. Use the information in figure 4 to solve
for x, the distance between D and C.
C 12
B x
12
D A
B
h
45° 33°
C x D 38 A
5) In figure 5, θ is a central angle formed as a rider moves from position P0 to position P1, find
the rider’s height above the ground h when θ is 45°.
(diameter = 200, top to ground = 214)
θ
P1
P0
h
1