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BELLWORK

Learn how to solve problems involving angles of elevation and angles of depression using trigonometric functions. Practice finding side lengths and angle measures using real-world scenarios.

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BELLWORK

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  1. BELLWORK Find all side lengths and angle measures. Round lengths to the nearest hundredth and angle measures to the nearest tenth. K K A T C B 35° 15.5 R 50° 125 S M L M L 4.5 12 Show all work…write all equations you use. Work must flow in an organized manner.

  2. §8.4, Angles of Elevation and Depression Learning Target I will solve problems involving angles of elevation and angles of depression using sine, cosine, tangent. Vocabulary angle of elevation angle of depression

  3. Angle of elevation – The angle between the horizontal and above the horizontal. Angle of depression – The angle between the horizontal and below the horizontal.

  4. Angle of depression Angle of elevation

  5. Use the diagram above to classify each angle as an angle of elevation or angle of depression. 1a. 5 5 is formed by a horizontal line and a line of sight to a point below the line. It is an angle of depression. 1b. 6 6 is formed by a horizontal line and a line of sight to a point above the line. It is an angle of elevation. What angles, if any, are congruent and why? GP Pg 565, #1 - 6

  6. The Seattle Space Needle casts a 67-meter shadow. If the angle of elevation from the tip of the shadow to the top of the Space Needle is 70º, how tall is the Space Needle? Round to the nearest meter. 184 meters

  7. An ice climber stands at the edge of a crevasse that is 115 ft wide. The angle of depression from the edge where she stands to the bottom of the opposite side is 52º. How deep is the crevasse at this point? Round to the nearest foot. 52° 147 feet 115 ft

  8. 3° A ranger is at the top of a 90 ft. observation tower. She sees a fire at an angle of depression of 3°. How far should she tell the fire truck the fire is from the observation tower? 1,717 feet

  9. 19° 78° 12,000 ft 78° 19° A pilot flying at an altitude of 12,000 ft sights two airports directly in front of him. The angle of depression to one airport is 78°, and the angle of depression to the second airport is 19°. What is the distance between the two airports? Round to the nearest foot. You will need to find z and y, then subtract y from z to get x. y = 2,551 ft, z = 34,851 ft distance we want is x, which is z – y, x = 32,300 ft. GP: pg 565, # 7 – 9

  10. HOMEWORK Page 565, #10 – 20.

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