Trigonometry: Question 2
In triangle ABC with right angle C, the measure of angle A is 37
degrees, and the length of the hypotenuse is 10. What is the length of
AC?
Select one:
12,5
7.9

Trigonometry Question 2 In triangle ABC with right angle C the measure of angle A is 37 degrees and the length of the hypotenuse is 10 What is the length of AC class=

Respuesta :

Answer:

b = 7.9

Step-by-step explanation:

A = 37       a =

B = 53       b =

C = 90       c = 10

B = 180 - 90 -37 = 53

[tex]\frac{sinB}{b} = \frac{sinC}{c}\\ \frac{sin(53)}{b} = \frac{sin(90)}{10}\\ b = \frac{10 sin(53)}{sin(90)} \\b = 7.9[/tex]