Question

The measure of angle A is 15°, and the length of side

BC is 8. What are the lengths of the other two sides,
rounded to the nearest tenth?
AC =
00
5) Intro
Done

Answer 1

AC = 29.9

AB = 30.9

Explanation:

Edge 2021

Answer 2

Part 1)
`AB=30.9\ units`

Part 2)
`AC=29.9\ units`

Explanation:

The picture of the question in the attached figure

Part 1

Find the length side AB

we know that

`sin(A)=(BC)/(AB)` ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

`sin(15^o)=(8)/(AB)`

solve for AB

`AB=(8)/(sin(15^o))=30.9\ units`

Part 2

Find the length side AC

we know that

`tan(A)=(BC)/(AC)` ----> by TOA (opposite side divided by the adjacent side)

substitute the given values

`tan(15^o)=(8)/(AC)`

solve for AC

`AC=(8)/(tan(15^o))=29.9\ units`