Pythagorean Exact

Given cos ⊖ =  $\frac{\sqrt{13}}{4}$ and tan⊖ < 0 , find the exact value for csc⊖ using the pythagorean identities. (Hint: Find sin first).

For the above right triangle, find the side length x.

• 16

• 41

• 29

• 25

The length of a shadow of a building is 29m. The distance from the top of the building to the tip of the shadow is 36m. The height of the building is ____m. If necessary, round your answer to the nearest tenth.

For the above right triangle, find the side length of x. Round your answer to the nearest hundredth.

• 13.04

• 8.49

• 72.00

• 10.23

Determine whether a triangle with the given side lengths is a right triangle. Check all correct answers.

• 14, 48, 50

• 8, 14, 16

• 10, 11,15

• 5,12,13

• 8.3 ft

• 0.1 ft

• 30.9 ft

• 17.2 ft