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ddd [48]
3 years ago
11

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

Mathematics
1 answer:
nignag [31]3 years ago
6 0

Answer:

Part 1) C=90\°

Part 2) A=63\°

Part 3) b=6.8\ units

Part 4) a=13.4\ units

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

C=90\°

step 2

Fin the measure of angle A

we know that

In the right triangle ABC

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

we have

B=27\°

substitute

27\°+A=90\°

A=63\°

step 3

Find the length side b

we know that

In the right triangle ABC

sin(B)=b/c

b=(c)sin(B)

substitute the given values

b=(15)sin(27\°)=6.8\ units

step 4

Find the length side a

we know that

In the right triangle ABC

sin(A)=a/c

a=(c)sin(A)

substitute the given values

a=(15)sin(63\°)=13.4\ units

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