126k views
3 votes
Show Examples

In AXYZ, x = 410 inches, y = 450 inches and z=210 inches. Find the measure of
nearest degree.

User Plinehan
by
8.2k points

1 Answer

4 votes

The measure of the angle X in the triangle is 65 degrees.

How to find the measure of angle in a triangle?

The measure of the angle in the triangle can be found using cosine law for triangle.

Therefore,

x² = y² + z² - 2yz cos X

Hence,

410² = 450² + 210² - 2(450)(210) cos X

168100 = 202500 + 44100 - 189000 cos X

168100 = 246600 - 189000 cos X

168100 - 246600 = - 189000 cos X

- 78500 = - 189000 cos X

cos X = - 78500 / - 189000

cos X = 0.41534391534

X = cos⁻¹ 0.41534391534

Therefore,

X = 65.4617896691

X = 65 degrees.

Note: The complete question is to find the angle X

User Mdoar
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories