/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 52 A person in a small boat, offsho... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q. 52 (page 517)

A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a sighting of the top of the cliff. If the angle of elevation is found to be25掳, how far offshore is the boat?

Short Answer

Expert verified

Hence, the boat is approx 214.4542 feet far from the vertical cliff.

Step by step solution

01

Given Information

A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a sighting of the top of the cliff. If the angle of elevation is found to be 25掳.

02

Solution

We can draw a figure as: -

So, in 鈻�ABCwe have to find BC.

Therefore,

tan(C)=ABBC

tan(25掳)脳BC=ABBC=ABtan(25掳)BC=1000.46630BC鈮�214.4542

03

Final Answer

Hence, the boat is approx 214.4542 feet far from the vertical cliff.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Approximating the Area of a Lake To approximate the area of a lake, Cindy walks around the perimeter of the lake, taking the measurements shown in the illustration. Using this technique, what is the approximate area of the lake?

[Hint: Use the Law of Cosines on the three triangles shown and then find the sum of their areas.]

A radio tower 500feet high is located on the side of a hill with an inclination to the horizontal of 5掳. See the figure. How long should two guys wire be if they are to connect to the top of the tower and be secured at two points 100feet directly above and directly below the base of the tower?

Show that the length d of a chord of a circle of radius r is given by the formula d=2rsin胃2 where u is the central angle formed by the radii to the ends of the chord. See the figure. Use this result to derive the fact that sin胃<胃, where 胃>0is measured in radians.

Constructing a Highway U.S. 41, a highway whose primary directions are north鈥搒outh, is being constructed along the west coast of Florida. Near Naples, a bay obstructs

the straight path of the road. Since the cost of a bridge is prohibitive, engineers decide to go around the bay. The illustration shows the path that they decide on and the measurements taken. What is the length of highway needed to go around the bay?

Willis Tower in Chicago is the third tallest building in the world and is topped by a high antenna. A surveyor on the ground makes the following measurement:

1. The angle of elevation from his position to the top of the building is 34掳. 2. The distance from his position to the top of the building is 2593 feet.

3. The distance from his position to the top of the antenna is 2743 feet. (a) How far away from the (base of the) building is the surveyor located? (b) How tall is the building?

(c) What is the angle of elevation from the surveyor to the top of the antenna?

(d) How tall is the antenna?
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.