Question

In the triangle ABC, ( angle ABC = 90^circ ), ( angle CAB = 35^circ ), and ( AC = 30 ). Find ( BC ).

a) 18.27
b) 22.16
c) 24.54
d) 26.91

Answer 1

To find BC in triangle ABC with angle CAB = 35° and AC = 30, we can use the sine function. BC is approximately 17.8, closest to answer choice (a) 18.27.

Step-by-step explanation:

To find the length of BC in the triangle ABC, we can use the trigonometric relationship of sine. Since we know the angle CAB and the length AC, we can use the sine function to find BC. (option a)

sin(CAB) = BC / AC

sin(35°) = BC / 30

BC ≈ sin(35°) × 30

Using a calculator, we can find that BC is approximately 17.8, which is closest to answer choice (a) 18.27.