Professor never uploaded the correct answer key!! Any help is greatly appreciated ### Solve the following word problems. For each question, draw a diagram to help you.**31) An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a certain time, the angle of depression to the coastline from the airplane is 14°. How much farther (to the nearest kilometer) does the airplane have to fly before it is directly above the coastline?****32) From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°. Calculate the height of the flagpole to the nearest tenth of a metre.****33) A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of the wall. Determine the measure of the angle between the ladder and the ground, to the nearest degree.****34) The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the tree, to the nearest tenth of a metre?****35) A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is its angle of inclination to the nearest degree?**---#### Additional Problems (with Diagrams)**On a windy day, a 90 foot rope tightly secures a hot air balloon to a stake in the ground. From the balloon, the angle of depression of the stake is 62°. Find the height of the balloon, assuming the wind to be constant.**- **Diagram Explanation:** - The diagram illustrates a right triangle where the rope serves as the hypotenuse of the triangle. - The angle of depression of 62° is marked. - The height of the balloon is the vertical leg of the triangle.**From the top of a 108 foot lighthouse, the angle of depression of a boat at sea is 27°. Find the horizontal distance from the boat to the base of the lighthouse.**- **Diagram Explanation:** - The diagram depicts the lighthouse as the vertical leg of a right triangle. - The horizontal distance from the boat to the lighthouse is the base of the triangle. - The angle of depression from the top of the lighthouse to the boat is marked as 27°.### Tips for Solving:- For questions involving angles and distances, use trigonometric ratios (

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Solve the following word problems. For each question, draw a diagram to help you. 31) An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a certain time, the angle of depression to the coastline from the airplane is 14°. How much farther (to the nearest kilometer) does the airplane have to fly before it is directly above the coastline?

Solve the following word problems. For each question, draw a diagram to help you. 31) An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a certain time, the angle of depression to the coastline from the airplane is 14°. How much farther (to the nearest kilometer) does the airplane have to fly before it is directly above the coastline?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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