Question

Solve the right triangle shown in the figure to the right.

Round lengths to two decimal places and express angles
to the nearest tenth of a degree.
A=36.1 b=46
B= 33.9 (Round to the nearest tenth as needed.)
a=
(Round to the nearest hundredth as needed.)
(Round to the nearest hundredth as needed.)
O
C=
A
B
a
D

Answer 1

The value of side length a is determined as 33.54 units.

The value of side length c is determined as 56.93 units

How to calculate the sides of the right triangle?

The value of side length a is calculated by applying trigonometry ratio as follows;

tan (A) = BC / AC

tan (36.1) = a / 46

a = 46 x tan (36.1)

a = 33.54 units

The value of side length c is calculated as follows;

sin A = (BC) / AB

sin A = a / c

sin (36.1) = 33.54 / c

c = 33.54 / (sin 36.1 )

c = 56.93 units

Thus, the value of side length a is 33.54 units and the value of side length c is 56.93 units.