Pythagorean Theorem and Trig Ratios

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

• 16

• 41

• 29

• 25

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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.

Tags

CCSS.HSA.CED.A.1

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Use the above triangle to find  $\cos B$  ,  $\tan B$  , and  $\sin B$  

•  $\cos B=\frac{15}{17},\ \tan B=\frac{15}{8},\ \sin B=\frac{8}{17}$  

•  $\cos B=\frac{8}{17},\ \tan B=\frac{15}{8},\ \sin B=\frac{15}{17}$  

•  $\cos B=\frac{15}{17},\ \tan B=\frac{8}{15},\ \sin B=\frac{8}{17}$  

•  $\cos B=\frac{8}{15},\ \tan B=\frac{8}{17},\ \sin B=\frac{15}{17}$  

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Use the above right triangle, with side lengths a, b, and c. The sinx = ______.

• $\frac{b}{c}$

• $\frac{c}{b}$

• $\frac{a}{c}$

• $\frac{c}{a}$

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find $\cos\theta$ , where  $\theta$  is the angle shown.  Give an exact value, not a decimal approximation.

•  $\frac{7}{5}$  

•  $\frac{5}{7}$  

•  $\frac{25}{7}$  

•  $\frac{7}{25}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

 $\tan\ 30\degree\ =\ _{ }$  ______.
Use a calculator to evaluate the expression.  Round your answer to the nearest hundredth.

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

 $\sin\ 52\degree=$  ________
Use a calculator to evaluate the expression.
Round your answer to the nearest hundredth.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

 $\cos\ 89\degree=$  ________
Use a calculator to evaluate the expression.
Round your answer to the nearest hundredth.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2