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 certaintime, the angle of depression to the coastline from the airplane is 14°. How much farther (to thenearest 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°. Calculatethe 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 thewall. 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?

Answered: Image /qna-images/answer/209a12a6-6adb-4bc3-bcb8-d4c27779b60a.jpg

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?

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

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?

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