/*! 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. 40 Finding the Height of a Mountain... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q. 40 (page 528)

Finding the Height of a Mountain Use the illustration in Problem 39 to find the height QD of the mountain.

Short Answer

Expert verified

The mountain is 629.9 feet tall.

Step by step solution

01

Step 1. Given Information

The distance from the bottom of the mountain P to the top Q is PQ=1490.48feet

A surveyor measures angle of elevation from the bottom P to the top of the mountain Q is鈭�DPQ=25鈭�

02

Step 2. Find the height of mountain by Sin Law

sin25鈭�DQ=sin90鈭�1490.48DQ=sin25鈭�1490.48sin90鈭�DQ=629.9ft

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

Consult the figure, which shows a circle of

radius r with center at O. Find the area K of the shaded region as a function of the central angle胃

A straight trail with an inclination of 17掳 leads from a hotel at an elevation of 9000 feet to a mountain lake at an elevation of 11,200 feet. What is the length of the trail?

Constructing a Highway A highway whose primary directions are north-south 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?

If three sides of a triangle are given, the Law of _________ is used to solve the triangle.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

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.