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Right Triangles and Trigonometry Videos 37 videos
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ACT Math 5.4 Trigonometry 246 Views
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Description:
ACT Math: Trigonometry Drill 5, Problem 4. What is the measure of the angle?
- Trigonometry / Solving right triangles
- Trigonometry / SOHCAHTOA (values and properties of trig functions)
- Product Type / ACT Math
- Foreign Language / Arabic Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Spanish Subtitled
- Foreign Language / Chinese Subtitled
- Trigonometry / Trigonometric relations in right triangles
Transcript
- 00:02
Here's your shmoop du jour
- 00:05
If tan(x) = square root of 3, what is the measure of the angle?
- 00:09
And here are the potential answers...
- 00:14
It's asking us to find x, or the measure of the angle that makes the tangent of x equal
- 00:19
to root 3.
Full Transcript
- 00:21
Remember your triangle trig ratios?
- 00:22
Tangent is opposite over adjacent.
- 00:27
The ratio of the opposite side of the angle x over the adjacent side to x is the square root of
- 00:33
3 or root 3 over 1. Okay. Pythagorean Theorem time!
- 00:37
squared.
- 00:37
One squared plus root three squared equals the hypotenuse squared. One plus three equals
- 00:44
the hypotenuse squared... so four equals the hypotenuse squared.
- 00:48
Take the square root of both sides, and we get that the hypotenuse equals 2.
- 00:53
The ratio of the sides is 1 to √3 to 2, which means this is a special triangle.
- 01:03
It's a 30-60-90 triangle, and x, the angle opposite the second longest side is the second
- 01:08
largest angle, which makes it 60 degrees. Option D is the correct answer.
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