/*! 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. 73 Chicago Skyscrapers聽聽The angle... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q. 73 (page 519)

Chicago SkyscrapersThe angle of inclination from the base of the John Hancock Center to the top of the main structure of the Willis Tower is approximately 10.3掳. If the main structure of the Willis Tower is 1450 feet tall, how far apart are the two skyscrapers? Assume the bases of the two buildings are at the same elevation.

Short Answer

Expert verified

The two skyscrapers are 7979 ft. apart.

Step by step solution

01

Step 1. Given information

The information given in the question is plotted in a diagram follows:

In this diagram we can see that there are two skyscrapers John Hancock center and the Willis Tower. We need to find the distance between the foots of the towers and given with the following information:

BC=1450ft.and鈭�CAB=10.3掳.

02

Step 2. Trigonometric equations involved

In鈭�ABCwehave,tan鈭�BAC=BCAB.

03

Step 3. Solving the equations to find the answer.

tan10.3掳=1450d,d=1450tan10.3掳,d=14500.1817鈮�7979ft.

So the distance between the foots of the towers is 7979 ft.

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

Area of a Segment Find the area of the segment (shaded in blue in the figure) of a circle whose radius is 8 feet, formed by a central angle of 70掳.

[Hint: Subtract the area of the triangle from the area of the sector to obtain the area of the segment.]

Rework Problem 5 under the same conditions except that, at time t = 0, the object is at its resting position and moving down.

an object of mass m (in grams) attached to a coiled spring with damping factor b (in grams per second) is pulled down a distance a (in centimeters) from its rest position and then released. Assume that the positive direction of the motion is up and the period is T (in seconds) under simple harmonic motion.

(a) Develop a model that relates the distance d of the object from its rest position after t seconds.

(b) Graph the equation found in part (a) for 5 oscillations using a graphing utility.

Given values:m=25,a=10,b=0.7,T=5

The displacement d (in meters) of an object at time t (in seconds) is given d=4sin(2t)

(a) Describe the motion of the object.

(b) What is the maximum displacement from its resting position?

(c) What is the time required for one oscillation?

(d) What is the frequency?

The Original Ferris Wheel George Washington Gale Ferris, Jr., designed the original Ferris wheel for the 1893 World鈥檚 Columbian Exposition in Chicago, Illinois. The wheel had 36 equally spaced cars each the size of a school bus. The distance between adjacent cars was approximately 22 feet. Determine the diameter of the wheel to the nearest

foot.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Statistics

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.