PLEASE HELP!!! b=7,c=10, COS A = 40°, a=____

Mathematics · High School · Sun Jan 24 2021

Answered on

Given:

b=7,c=10, COS A = 40°

Solve for a.

Solution:

In order to solve for a, we simply needed to use the Pythagorean theorem.

Pythagorean Theorem:

c^2 = a^2 + b^2

a^2 = c^2 - b^2

a = √(c^2 - b^2)

Substitute the values of b and c.

a = √(10^2 - 7^2)

a = √(100 - 49)

a = √(51)

a = 7.14

Final answer:

a = 7.14