In right triangle ABC, A=15°, C=37, and angle C is the right angle. Solve the triangle. Round to the nearest tenth, if necessaar

Question

3 years ago

14

y.

1 answer:

Mice21 [21] · Answer 1 · 2022-07-01T18:52:59+03:00

Answer:

180 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Since angle C is 90 degrees and angle A is 15 degrees Then,

A+B+C=180

15+90+B=180

B=180-90-15

B=75 degrees

Using the sine law,

a/sinA = b/sinB = c/sinC

where a, b, and c are the sides of the triangle,

So,

a/sin15 = 37/sin90

and

b/sin75 = 37/sin90

Simplifying, and solving for a and b, the measure of each side is

a= 9.58 units

b=35.74 units

I hope this helped. I am sorry if you get this wrong.