/*! 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} Q3. JT炉聽is tangent to 鈯櫬燨聽at T... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q3. (page 335)

JT炉is tangent to 鈯�Oat T. Complete.

If m鈭�TOJ=60 and OT=6, then JO=?

Short Answer

Expert verified

If m鈭�TOJ=60 and OT=6, then JO=12.

Step by step solution

01

Step 1. Given information.

The statement here given is,

If m鈭�TOJ=60and OT=6, then JO=____

The figure:

JT is a tangent to circle with centre O at T.

02

Step 2. Concept Used.

According to theorem 9路2,

Tangent of the circle is perpendicular to the radius of the circle.

cosA=leg adjacent to鈭�Ahypotenuse

03

Step 3. Consider the given figure.

It is given that, JT is a tangent to circle with centre O at T.

So, by theorem 9路2, it can be said that JT炉is perpendicular to OT炉.

That is,

m鈭�OTJ=90

Consider the right triangle 螖OTJ.

Now, it is given that m鈭�TOJ=60, so

cosTOJ=legadjacentto鈭�TOJhypotenusecos60掳=OTJO12=6JO

04

Step 4. Now, perform cross multiplication.

JO=6脳2JO=12

Therefore, the complete statement is,

If m鈭�TOJ=60 and OT=6, then JO=12.

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

Use a compass to draw a large 鈯�o.Draw a central 鈭�AOB..

a. draw three other points P,Qand R that are on 鈯�obut not on AB铃�.

then draw 鈭�APB,鈭�AQB and 鈭�ARB.

b. Use a protractor to find m鈭�AOB,m鈭�APB,m鈭�AQB and m鈭�ARB.

c. What is the relationship between m鈭�APB,m鈭�AQB and m鈭�ARB?

What is the relationship between m鈭�AOBand m鈭�APB?

In exercises 2-7 find the measure of the arc.

AB铃�

In Exercises 17-20, the latitude of a city is given. Sketch the earth and a circle of latitude through the city. Find the radius of this circle.

Milwaukee, Wisconsin; 43掳N

In exercises 2-7find the measure of the arc.

BAD铃�

What is the radius of sphere with diameter 14,13,5.6,6n.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

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.