* Site-Outage Notice: Our engineering elves will be tweaking the Shmoop site from Monday, December 22 10:00 PM PST to Tuesday, December 23 5:00 AM PST. The site will be unavailable during this time.
Dismiss
© 2014 Shmoop University, Inc. All rights reserved.
Right Triangles and Trigonometry

Right Triangles and Trigonometry

Example 1

Find the measurements of all angles in the triangle.

Example 2

Solve the triangle.

Example 3

Find ∠R if ∆QRS has the following points: Q (3, 1), R (-1, 4), and S (1, -2).

Example 4

Find the value of x.

Example 5

Find the length of AD if ∠BCE = 180° exactly. 

Example 6

In hopes to lure Jerry out and catch him, Tom has planted a piece of cheese at a distance away from his mouse hole. Tom is ready to pounce from his hiding spot, 7 feet away from the mouse hole and 10 feet away from the cheese. If the angle Tom makes is 73.1°, approximately how far away did he place the cheese?

Example 7

A tilted tree stands at a height of 30.6 feet. The shadow it casts is 37.8 feet long, 12.1 feet past a perpendicular line from top of the tree to the ground. If the tree is actually 32.9 feet tall, what angle does the tree make with the ground?

Advertisement
Noodle's College Search
Advertisement
Advertisement
Advertisement