1 / 16

Trigonometry Applications in Real Life Scenarios

Solve real-life trigonometry problems involving angles of elevation and depression. Calculate distances, heights, and more using right triangle trigonometry principles. Perfect for homework or group activities.

josuem
Download Presentation

Trigonometry Applications in Real Life Scenarios

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Knight’s Charge A camper is hiking and is standing on top of a 400 foot cliff enjoying the view. He looks down and views a bear at a 37o angle of depression. How far is the bear from the base of the cliff? (Round your answer to the nearest foot, and disregard the height of the camper in your calculations.)

  2. Check Homework 4.1Right Triangle Trigonometry

  3. Precalculus Unit 2(Day 12)

  4. Application of Trig 4.1Right Triangle Trigonometry

  5. #1. Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite measures 70, how high is the kite above Brian’s head? 4.1 Right Triangle Trigonometry

  6. #2. From an airplane at an altitude of 1200 m, the angle of depression to a rock on the ground measures 28. Find the distance from the plane to the rock. 4.1 Right Triangle Trigonometry

  7. # 3. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of the pole measures 53. How tall is the flagpole? 4.1 Right Triangle Trigonometry

  8. # 4. From a plane flying due east at 265 m above sea level, the angles of depression of two ships sailing due east measure 35 and 25 . How far apart are the ships? 4.1 Right Triangle Trigonometry

  9. # 5. Tom and Sam are on the opposite sides of a tower of 160 meters height. They measure the angle of elevation of the top of the tower as 40° and 55° respectively. Find the distance between Tom and Sam. 4.1 Right Triangle Trigonometry

  10. # 6. A man on the deck of a ship is 13 ft above water level. He observes that the angle of elevation of the top of a cliff is 40° and the angle of depression of the base is20°. Find the distance of the cliff from the ship and the height of the cliff if the base of the cliff is at sea level. 4.1 Right Triangle Trigonometry

  11. # 7. The angle of elevation of the top of a cliff from the point Q on the ground is 30°. On moving a distance of 20 m towards the foot of the cliff the angle of elevation increases to xo. If the height of the cliff is 17.3 m, then find xo. 4.1 Right Triangle Trigonometry

  12. # 8. A communications tower is built on top of a building with the following specifications: from a point 200 meters from the base of the building, the angle of elevation to the top of the building is 23.6° and the angle of elevation to the top of the tower is 15.9°. Find the height of the tower. 4.1 Right Triangle Trigonometry

  13. # 9. A ranger's tower is located 50m from a tall tree. The angle of elevation to the top of the tree is 10°from the top of the tower, and the angle of depression to the base of the tree is 20°. How tall is the tree? 4.1 Right Triangle Trigonometry

  14. # 10. From the foot of a building I have to look upwards at an angle of 22° to sight the top of a tree. From the top of a building, 150 meters above ground level, I have to look down at an angle of depression of 50° to look at the top of the tree. a. How tall is the tree? b. How far from the building is the tree? 4.1 Right Triangle Trigonometry

  15. YOUR TURN!!! • Pick a partner! • Calculate the height of the giraffe using TRIG! (what measurements do you need to take?) 3. Each group will need • A ruler • A “Clinometer” (protractor with a string) • Paper • Phone (picture)

More Related