Math Mod Unit 9 Lesson 5

A ladder against the side of a wall forms a right triangle. The base of the ladder is 5 feet from the wall. The ladder touches the wall at a point 12 feet above the floor. How long is the ladder?

13 feet

Find the measure of the smaller acute angle in a right triangle with sides 16, 63, and 65 cm.

14.3°

The cities of Apex, Bluefield, and Carboro form a 30-60-90 triangle. The hypotenuse of the triangle is the road from Apex to Carboro and it is 18 miles long. The short leg of the triangle is the road from Apex to Bluefield and it is 9 miles long. How far is it from Bluefield to Carboro?

15.588 miles

Find the measure of the smaller acute angle in a right triangle with sides 12, 35, and 37 cm.

18.9°

Betsy has a square bedroom. The length of each wall in her bedroom is 16 feet. How long is a diagonal from one corner to the opposite corner in Betsy's bedroom?

22.624 feet

Andi's kite ends up stuck in the top of a tree in the pasture. The tree is 75 m from where she is standing and is 35 m tall. What angle of elevation does the kite string make with the ground?

25.3°

Andi has attached a remote control micro camera to her kite, which is facing straight down and shows the image of her family's pet donkey. How far away from the donkey is Andi, measured horizontally?

61.6 m

Andi is flying a kite in her back pasture. She has let out 100 meters of kite string and the string makes an angle of elevation with the ground of 52°. How high is the kite flying?

78.8 m

Find the measure of the larger acute angle in a right triangle with sides 13, 84, and 85 cm.

81.2°

Select the degree measures of both acute angles. legs 9 meters and 40 meters

- 12.7° - 77.3°

Select the degree measures of both acute angles. legs 8 cm and 15 cm

- 28.1° - 61.9°

Select the degree measures of both acute angles. leg 20 feet and hypotenuse 29 feet

- 46.4° - 43.6°

Select the degree measures of both acute angles. leg 24 inches and hypotenuse 25 inches

- 73.7° - 16.3°