1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
grin007 [14]
3 years ago
5

The height of a radio tower is 400 ​feet, and the ground on one side of the tower slopes upward at an angle of 10degrees. ​(a) H

ow long should a guy wire be if it is to connect to the top of the tower and be secured at a point on the sloped side 190 feet from the base of the​ tower? ​(b) How long should a second guy wire be if it is to connect to the middle of the tower and be secured at a point 190 feet from the base on the flat​ side?

Mathematics
1 answer:
Anettt [7]3 years ago
4 0

Answer:

  (a)  412 ft

  (b)  276 ft

Step-by-step explanation:

Consider the attached diagram.

(a) The internal angle of triangle RBT at B is 90° -10° = 80°. Since we know lengths RB and BT, we can find the length RT using the law of cosines:

  RT² = RB² +BT² -2·RB·BT·cos(80°) = 190² +400² -2·190·400·cos(80°)

  RT² ≈ 169,705.477

  RT ≈ √169,705.477 ≈ 411.95

The guy wire to the hillside should be about 412 feet long.

__

(b) The Pythagorean theorem can be used to find the shorter wire length.

  LM² = LB² +MB²

  LM = √(190² +200²) = √76,100

  LM ≈ 275.86

The guy wire to the flat side should be about 276 feet long.

You might be interested in
During art class, Gregory spent 24 hour painting.
nexus9112 [7]

Answer:

the third one

Step-by-step explanation:

3 0
2 years ago
Divided 80 by my number, and then added 13. The result was 93. What was my number?
igor_vitrenko [27]

The number is 6400.

We have given that,

divided 80 by my number, and then added 13.

<h3>What is the expression?</h3>

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Suppose the number is x

\frac{x}{80}+13=93

Subtract  13  from both sides

\frac{x}{80}+13-13=93-13

\frac{x}{80}=80

Multiply both sides by 80

\\\frac{80x}{80}=80\cdot \:80

x=6400

Therefore the number is 6400.

To learn more about the number visit:

brainly.com/question/251701

#SPJ1

4 0
2 years ago
Find the values of each variables in each quadrilateral. ​
Ahat [919]
First lets solve for x we know 3x=90. In this case x=30. Now we can solve for y. We know the triangle needs to equal 180 so y+2(30)=180. So we get y=120. Hope it helps
7 0
3 years ago
What is 15 % of 80 in a box
Softa [21]
Answer: 12
explanation:
7 0
2 years ago
What is the area of the triangle?<br> 3<br> 6
Arada [10]

Answer: 6

Step-by-step explanation:

2*3*6=12

12/2=6

formula= b*h/2

6 0
3 years ago
Read 2 more answers
Other questions:
  • A line passes through the points (-1,-4) and (-2,0). What is the equation of this line?
    9·1 answer
  • I need to know the answer to a,b,c,and d
    15·1 answer
  • Help me NOW on problems 9 - 14 NOW!!!
    6·1 answer
  • jefferson park sits on one square city block 300 feet on each side. Sidewalks join opposite corners. About how long is each diag
    6·1 answer
  • Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating
    15·1 answer
  • I need to know how to answer this if someone could explain it step by step thanks!
    5·1 answer
  • Can anyone Pleaseee tell me how to do this I’m a little confused?
    9·1 answer
  • Complete the table below for the function y = 5x - 2.
    5·1 answer
  • When using "mean" does it mean average of something if not please explain, I'm a bit confused.
    7·2 answers
  • Evaluate the indefinite integral.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!