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Name Class Date Practice 8-4 Form K Angles of Elevation and Depression Describe each angle as it relates to the the diagrams below. 1. /1 angle of depression from person on cliff to person in boat elevation from scuba diver bird to person person to bird person to car car to person Find the value of x. Round to the nearest tenth of a unit. 43. 3 in* 35 in* 11. 1 cm x 20 cm 48. 7 ft 27. 2 ft 50 ft 14 ft 13. A child is standing across the street from his apartment. His mother is on their balcony. The angle of elevation between the child s eyes and his mother s eyes is 228. If the distance between their eyes is 32 ft how far is the child standing from his apartment building Round to the nearest foot. 30 ft 14. A woman looks down from a hot air balloon* She sees a sheep below and measures the angle of depression as 358. If the sheep is 125 ft from where the woman is looking down from the balloon how high off the ground is the balloon Round to the nearest foot. 72 ft Prentice Hall Foundations Geometry Teaching Resources Copyright by Pearson Education Inc* or its affiliates. All Rights Reserved* Practice continued To start use alternate interior angles to help you get an angle measure inside the triangle. 22 ft The angle of 9 is 588. Since alternate interior depression angles are 9 the angle adjacent to x is 588. u congruent 85. 5 ft 953. 4 ft 600 ft 110 ft 18. Indirect Measurement You are 55 ft from a tree. The angle of elevation from your eyes which are 4. 5 ft off the ground to the top of the tree is 618. To the nearest foot how tall is the tree 104 ft Algebra The angle of elevation e from A to B and the angle of depression d from B to A are given* Find the measure of each angle. 19. e 3x 2 16 8 d 2 x 1 2 8 448 448 20. e 5x 2 2 8 d 6 x 2 3 8 788 788 21. e 3x 1 8 8 d 5 x 2 2 8 358 358 22. e 4x 2 4 8 d 5 x 2 4 8 608 608 23. The picture below shows a bridge with a roadway hanging from cables that are attached to towers. Assume you could measure the distances along the bridge as well as the angles formed by the cables and the roadway. Explain how you could estimate the length of each cable. To nd the length of each cable divide the distance from the bottom of the tower to the bottom of the cable by the cosine of the angle formed by the cable and the roadway. 1. /1 angle of depression from person on cliff to person in boat elevation from scuba diver bird to person person to bird person to car car to person Find the value of x. Round to the nearest tenth of a unit. 43. 3 in* 35 in* 11. 1 cm x 20 cm 48. 7 ft 27. 2 ft 50 ft 14 ft 13. Round to the nearest tenth of a unit. 43. 3 in* 35 in* 11. 1 cm x 20 cm 48. 7 ft 27. 2 ft 50 ft 14 ft 13. A child is standing across the street from his apartment. His mother is on their balcony. The angle of elevation between the child s eyes and his mother s eyes is 228. A child is standing across the street from his apartment. His mother is on their balcony. The angle of elevation between the child s eyes and his mother s eyes is 228. If the distance between their eyes is 32 ft how far is the child standing from his apartment building Round to the nearest foot.

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