Mini Assessment: Law of sin/cos Applications

Jack is flying his kite. He runs 100 feet away from his house and lets out 75 feet of string. The angle of elevation from the ground to the kite is 65 degrees. How far away is the kite from the house?

• 9285.73 ft

• 96.36 ft

• 24061.81 ft

• 155.12 ft

Clint is building a wooden swing set for his children.  Each supporting end of the swing set is to be an A-frame constructed with two 10 foot long 4-by-4s joined at a 45 degree angle.  To prevent the swing set form tipping over, Clint wants to secure the base of each A-frame to concrete footings.  How far apart should the footings for each A-frame be?

• 5.461 feet
• 9.743 feet
• 6 feet
• 7.65 feet

If the sides of a triangle are 12,5, and 2. What is the area?

• 12

• 40.65

• 19

• This triangle does not exist

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 

• 15 ft 

• 26 ft 

• 30 ft 

The length of the shadow of a 4 m high vertical pole on the level ground at an instant when the sun elevation is 60° is___

• 2 m

• 4√3 m

• 4⁄√3 m 

• 4 m

• 30°

• 60°

• 45°

• 90°

To approximate the length of a marsh, a surveyor walks 425 meters from point A to point B. Then the surveyor turns 65º and walks 300 meters to point C. Approximate the length AC of the marsh.

• 250

• 615

• :)

• Not me

On a map, Orlando is 178 millimeters due south of Niagara Falls, Denver is 273 millimeters from Orlando and 235 millimeters from Niagara Falls. Find the bearing of Denver from Orlando.

• 58 degrees

• Not me

• IDK

• 25 degrees