side 10 with 80 degree ad missing side

Question

Its a right triangle with the one side 10 and the on degree of 10 and trying to find the missing angle

 

Answer 1

Hello Tori, Here we can use Two Formulas: The Sin function and Pythagoras theorem .

Sin = opp Pythagoras= a^2 +b^2 +c^2

____

hyp

Sin (80) = A

___

10

0.98 = A

____

10

A= (0.98) (10)

A= 9.8 Now use the theorem.

a^2 +b^2 =c^2 Now rewrite as:

b^2 = a^2 +c^2

b^2 = (9.8^2 +(10)^2

b^2 = 96.04 +100

b^2 = 196.04

b = SQRT (196.04)

b= 14.00

A=- 9.8

B= 14.00

C= 10

Hope this helps!