Register
What is the value of x in the triangle? a 30-60-90 triangle with long leg length x and shorter leg length of 7 times the square root of 3
199k views
2 votes
What is the value of x in the triangle?

a 30-60-90 triangle with long leg length x and shorter leg length of 7 times the square root of 3

User Borka
by
5.5k points

1 Answer

4 votes

Answer:

sin 30 = 7 *3^1/2 / c

sin 60 = x / c definition of 30-60-90 -

sin 30 / sin 60 = 7 * 3^1/2 / x = .5 / .866 = .577

x = 7 * 3^1/2 / .577 = 21

Check: tan 30 = 7 * 3^1/2 / 21 = .577 = tan 30

User Armonge
by
4.9k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

5.6m questions

7.3m answers

Other Questions

What is the value of x? (-4) - x = 5
1/7 + 3/14 equivalent fractions
(3x1,000,000)+(3x100,000)+(2x100) what is this number written in standard form?
The function h = -t2 + 95 models the path of a ball thrown by a boy where h represents height, in feet, and t represents the time, in seconds, that the ball is in the air. Assuming the boy lives at sea
Which of the following would be a good name for the function that takes the length of a race and returns the time needed to complete it? A. Time(race) B. Length(time) C. Length(cost) D. Year(time) E. Cost(time)
Link Copied!