4: Two ships are currently sailing towards the port in a nearby city. Located at the edge of the port is a lighthouse which guides the ships. From the furthest ship from the port, a person looks up to the top of the lighthouse with an angle of elevation of 20% From the closest ship from the port, a person looks up to the top of a lighthouse with an angle of elevation of 40°. The distance between the two ships is 200m and the closest ship is 500m from the port. How tall is the lighthouse?

4: Two ships are currently sailing towards the port in a nearby city. Located at the edge of the port is a lighthouse which guides the ships. From the furthest ship from the port, a person looks up to the top of the lighthouse with an angle of elevation of 20% From the closest ship from the port, a person looks up to the top of a lighthouse with an angle of elevation of 40°. The distance between the two ships is 200m and the closest ship is 500m from the port. How tall is the lighthouse?

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

4: Two ships are currently sailing towards the port in a nearby city. Located at the edge of the port is a
lighthouse which guides the ships. From the furthest ship from the port, a person looks up to the top of
the lighthouse with an angle of elevation of 20% From the closest ship from the port, a person looks up
to the top of a lighthouse with an angle of elevation of 40°. The distance between the two ships is 200m
and the closest ship is 500m from the port. How tall is the lighthouse?

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