Solve the right triangle, δabc, for the missing sides and angle to the nearest tenth given angle b = 27° and side c = 15.

Part 1)

Part 2)

Part 3)

Part 4)

Step-by-step explanation:

step 1

Find the measure of angle C

we know that

The triangle ABC is a right triangle

so

Angle C is a right angle

therefore

step 2

Fin the measure of angle A

we know that

In the right triangle ABC

∠B+∠A=90° -----> by complementary angles

we have

substitute

step 3

Find the length side b

we know that

In the right triangle ABC

substitute the given values

step 4

Find the length side a

we know that

In the right triangle ABC

substitute the given values

the answer is a

step-by-step explanation:

(a) the volume of the cone is 20/3 in3

hence, option a is correct.