Applying trigonometric ratios along with other mathematical concepts

Find m∠N                                                                                                                                               

• 14
• 65
• 76
• 53

Four students are doing a scavenger hunt starting at the water fountain. They disagree one the directions and split up. Their paths are shown in the diagram. Which pair is closest to the fountain when they stop?

• Luther and Stephanie

• Mario and Lee

After a storm, a tree leans 17 degrees away from the vertical. An observer standing 73 feet from the base of the tree (away from the leaning) has an angle of elevation of 28 degrees to the top of the tree.

How far is the observer from the top of the tree?

• Around 93 feet

• Around 48 feet

• Around 78 feet

• Around 98 feet

Which equation shows how you would use the law of sines to find angle A?

What is the measure of angle A?

Find the measure of angle J.

Round your answer to the nearest thousandth.

Use the Law of Sines to solve for side a. (Hint: find angle B first)

• 33

• 24

• 12

• 29

A man is 6 feet tall and his shadow is 2 feet long.

How long is the shadow of a 5 feet tall woman?

(Hint: make a picture of two triangles)

• 15 feet

• 2.4 feet

• 1.6 feet

• 1 foot

In triangle ABC  $m<A=30\degree,$  a = 8, and b = 12. Find m < B rounded to the nearest tenth.

•  $m<B=46.5\degree$  

•  $m<B=46.8\degree$  

•  $m<B=2.4\degree$  

•  $m<48.6\degree$  
  

• Side a is opposite angle α

• Side a is adjacent to angle α

• Side b is opposite angle α

• Side c is opposite angle α