math lib activity Created by: ALL THINGS ALGEBRA

math lib activity Created by: ALL THINGS ALGEBRA

Angle of Elevation & Depression Math Lib Activity! Objective: To practice solving problems that relate the angle of elevation and depression. Students must have a basic understanding of sine, cosine, and tangent. This activity was created for a high school level geometry class. Activity Directions: Print and post the ten stations around the room. Give each student the worksheet to record their work as they travel to the stations. Group students (I typically do groups of 3) and assign to a starting problem. Set the timer for 3:30 minutes (more if needed). Students solve the problem at the station, then look for their answer and record the piece to the story. When the timer goes off, they move to the next station. You will be able to edit the first slide to change the names to teachers in your own school. They enjoy seeing which one of their teachers is the star of the story! 10 Stations & Student Worksheet Included First station is editable to change teacher names! Gina Wilson (All Things Algebra), 2014

Angle of Elevation & Depression Math Lib Activity! Directions: Solve the problem at each station. Identify your answer and fill in the blanks on the back to complete the math lib story! 1 2 3 4 5 6 Gina Wilson (All Things Algebra), 2014

7 8 9 10 WRITE YOUR MATH LIB BELOW! (1) was (2) to be (3) with (4) on (5) at (6) in (7) wearing (8) while (9) because they wanted (10)! Gina Wilson (All Things Algebra), 2014

1 Nick is stuck at the top of a Ferris wheel. His mother is standing 38 feet from the base of the wheel watching him. If the angle of elevation from Nick s mom to Nick is 73, how far off the ground is Nick? A) 118.2 ft Ms. Price B) 120.9 ft Mr. Clark C) 124.3 ft Mr. Smith D) 126.5 ft Mrs. Wilson E) 128.1 ft Mrs. White

2 The angle of depression from the top of a flag stick to a golf ball on the ground is 24. If the flagstick is 6 feet tall, how far away is the golf ball from the base of the flag stick? A) 13.5 ft shocked B) 12.3 ft excited C) 9.8 ft surprised D) 14.6 ft confused E) 15.1 ft nervous

3 The angle of depression from a helicopter to a landing pad is 65. If the horizontal distance from the helicopter to the landing pad is 1,000 feet, how high up is the helicopter? A) 1,921.4 ft paddle boarding B) 1,955.2 ft scuba diving C) 2,018.3 ft playing baseball D) 2,144.5 ft making s'mores E) 2,218.9 ft posting on Instagram Gina Wilson ( All Things Algebra ), 2014

4 Jack is using a ladder to hang lights up on his house. He places the ladder 5 feet from the base of his house and leans it so it reaches a window 14 feet above the ground. Find the angle of elevation of the ladder. A) 65.5 Justin Bieber B) 68.4 Katy Perry C) 70.3 Bruno Mars D) 71.5 Peyton Manning E) 72.9 Carrie Underwood

5 Sara is flying a kite at the park. The angle of elevation from Sara to kite in the sky is 53 and the length of the string is 32 feet, If Sarah is 5 feet tall, how far off the ground is the kite? A) 23.4 feet Halloween B) 25.6 feet St. Patrick s Day C) 27.2 feet President s Day D) 28.4 feet Valentine s Day E) 30.6 feet the 4 th of July

6 The angle of a depression from a lighthouse to a boat in the water is 14. If the boat is 532 feet from the base of the lighthouse, what is the height of the lighthouse? A) 130.2 ft the library B) 132.6 ft the water park C) 134.9 ft the aquarium D) 136.4 ft the gas station E) 138.0 ft the airport

7 The angle of elevation from the bottom of the ski lift to the top of the mountain is 62. If the vertical height of the mountain is 1,760 feet, what is the total distance traveled on the ski lift from the bottom to the top of the mountain? A) 1,952.8 ft a boat B) 1,993.3 ft a hot air-balloon C) 2,020.5 ft a plan D) 2,084.1 ft a tank E) 2,102.7 ft a police car

8 Tristin is attempting to dive from an 8 foot diving board into a tube that is located 12 feet from the base of the diving board. What should be his angle of depression to ensure he hits the tube? A) 30.5 sunglasses B) 31.9 bow-ties C) 32.2 gorilla costumes D) 33.7 tu-tus E) 35.1 snow suits

9 The angle of depression from the top of the school to the base of the flag pole in front of the school is 50. If the flag pole is 35 feet from the base of the school, find the height of the school. A) 38.4 ft doing jumping jacks B) 39.2 ft eating Cheetos C) 39.8 ft wrestling a bear D) 40.5 ft juggling E) 41.7 ft hula-hooping

10 The angle of elevation from Mindy to a cell phone tower is 75. If Mindy is standing 28 feet from the base of the tower, find the height of the cell phone tower. A) 104.5 ft to impress everyone B) 105.8 ft to promote world peace C) 106.1 ft to show how cool they are D) 107.4 ft to get out of the house E) 108.9 ft to make people jealous

Answer Key: 1) 124.3 ft (C Mr. Smith) 2) 13.5 ft (A shocked) 3) 2,144.5 ft (D making s'mores) 4) 70.3 (C Bruno Mars) 5) 30.6 ft (E the 4 th of July) 6) 132.6 ft (B the water park) 7) 1,993.3 ft (C a hot-air balloon) 8) 33.7 (D tu-tus) 9) 41.7 ft (E hula-hooping) 10) 104.5 ft (A to impress everyone)

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