PhizKid said:Homework Statement
Find side 'R'. L = 6.10 meters, theta = 36.9 degrees, and phi = 53.1 degrees.
Homework Equations
Pythagorean Theorem
Similar triangles
Law of Sines
Law of Cosines
The Attempt at a Solution
I don't see any way I can attempt this, I'm very rusty with my trig. We have a known side and a right angle, but I don't see how I can make any other angles (since we only have one side I'm assuming I need to get an angle somewhere
To find the missing side length of a triangle using trigonometry, you will need to use one of the trigonometric ratios (sine, cosine, or tangent) depending on the given information. For example, if you have the measure of an angle and the length of the adjacent side, you can use cosine to find the missing side length.
Yes, you can use trigonometry to solve any triangle as long as you have enough information. This means you need to know at least three of the angles or side lengths of the triangle.
To use the Pythagorean theorem to find the missing side length of a right triangle, you will need to know the lengths of the other two sides. Then, you can use the formula a² + b² = c², where a and b are the lengths of the legs and c is the length of the hypotenuse.
The sine ratio is the ratio of the opposite side to the hypotenuse, the cosine ratio is the ratio of the adjacent side to the hypotenuse, and the tangent ratio is the ratio of the opposite side to the adjacent side in a right triangle. Each ratio can be used to find a missing side length or angle measure in a triangle.
Yes, you can use trigonometry to find the area of a triangle if you know the lengths of two sides and the included angle. You can use the formula A = 1/2ab sin C, where a and b are the given side lengths and C is the included angle.