2 From Base to Branch Copyright © 2026 Pearson Education, Inc. 5. While the course is under construction, it is observed that a tree casts a 12-foot shadow. The angle of elevation from the tip of the shadow to the top of the tree is 35°. a. Use the tangent ratio to find the height of the tree. Round your answer to the nearest hundredth. b. What would happen to the shadow if the sun were lower in the sky? 6. A support beam forms a 60° angle with the ground and is 14 feet long. How high does the beam reach up the wall? 7. A ramp rises from the ground forming a 30°– 60°– 90° triangle. The side opposite the 30° angle is 6 feet long. a. What is the length of the hypotenuse? b. What is the length of the base? Round your answer to the nearest hundredth. 8. A zipline platform is built on a hillside 25 feet above the base station. The support cable stretches from the top of the platform to the ground, anchored 40 feet away from the base of the platform horizontally. a. How long is the zipline cable? Round your answer to the nearest hundredth. b. What is the angle of elevation from the anchor point on the ground to the top of the platform? Round your answer to the nearest hundredth.
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