Which equation can be used to solve for b? Triangle A B C is shown. Angle A C B is 90 degrees and angle C B A is 30 degrees. The

Question

3 years ago

14

Which equation can be used to solve for b? Triangle A B C is shown. Angle A C B is 90 degrees and angle C B A is 30 degrees. The

length of side B C is 8 feet, the length of B A is c, and the length of C A is b. b = (8)tan(30o) b = StartFraction 8 Over tangent (30 degrees) EndFraction b = (8)sin(30o) b = StartFraction 8 Over sine (30 degrees) EndFraction

Mathematics

2 answers:

STALIN [3.7K] · Answer 1 · 2022-05-03T16:31:03+03:00

Answer:

$b=(8)tan(30\°)$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC, the tangent of angle of 30 degrees is equal to divide the opposite side to the angle of 30 degrees (AC) by the adjacent side to the angle of 30 degrees (BC)

$tan(30\°)=AC/BC$

substitute the given values

$tan(30\°)=b/8$

Solve for b

$b=(8)tan(30\°)$

galina1969 [7] · Answer 2 · 2022-05-03T17:44:42+03:00

galina1969 [7]3 years ago

8 0

Answer:

b=(8)tan(30\°)

Step-by-step explanation: