A mine shaft is dug into the side of a mountain at an angle of depression of 30°. On the other side of the mountain, 6.4 km away, a second shaft is dug at an angle of depression of 45°. How long will each shaft be when they meet? Include a labeled triangle in your solution.

Q: The zip line at the Super Bowl Village in downtown Indianapolis in 2012 is sketched below. Find "X",…

A:

Q: One day I was walking there and measured its dimensions. It is shaped like a rectangle with a…

A: Given, length of the rectangle = l = 105 m Width of the rectange = w = 68 m Then radius of the semi…

Q: Claudia owns a lot in a cul-de-sac. The sides of the lot are parallel and are perpendicular to the…

A:

Q: A regular octogon is inscribed in a circle with a radius of 13 inches. Find the perimeter of the…

A: Each side will create an equal angle(θ) at the center  θ = 360 / 8 = 45

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.