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
Darya [45]
2 years ago
8

The top of a 230 foot vertical tower is to be anchored by cables that make an angle with a measure of 50 degrees with the ground

.
How long must each cable be? ____ feet   
How far from the base of the tower should the anchors be placed? _____ feet   
​

Mathematics
1 answer:
Triss [41]2 years ago
4 0

9514 1404 393

Answer:

  • cable length: 300.2 ft
  • anchor distance: 193.0 ft

Step-by-step explanation:

The side given is opposite the given angle. We want to find both the hypotenuse and the adjacent side in the right triangle that models the geometry.

  Sin = Opposite/Hypotenuse

  sin(50°) = (230 ft)/h

  h = (230 ft)/sin(50°) ≈ 300.24 ft

The length of the cable must be about 300.2 feet.

__

  Tan = Opposite/Adjacent

  tan(50°) = (230 ft)/d

  d = (230 ft)/tan(50°) ≈ 192.99 ft

The cable must be anchored about 193.0 ft from the tower.

You might be interested in
What is the vertex of the graph of y = 1/3 (x-9)2 + 5 Question 1 options: (9,5) (3,3) (3,5) (-9,5)
svlad2 [7]
ANSWER

The vertex of the graph of
y =  \frac{1}{3}  {(x - 9)}^{2}  + 5
is

(9,5)



EXPLANATION

The vertex form of a parabola is given by

y = a {(x - h)}^{2}  + k

where
V(h,k)
is the vertex of the parabola.


The function given to us is

y =  \frac{1}{3}  {(x - 9)}^{2}  + 5
This is already in the vertex form.


When we compare this to the general vertex form, we have,

a =  \frac{1}{3}

h = 9
and

k = 5


Therefore the vertex of the parabola is

V(9,5)

Hence the correct answer is option A.

7 0
3 years ago
Read 2 more answers
Find the measures of (x-10) (4x-10)
Arte-miy333 [17]
The answer is 5x 6q
4 0
3 years ago
Determine the surface area of this cone if the radius is 4 cm and the height is 12 cm . Round your answer to the nearest tenth .
maria [59]
Base Surface Area = π×42
= 50.265482457437 inches2
Lateral Surface Area = π×4×√42 + 4.72440944881892
= 77.789838023204 inches2
Total Surface Area = 128.05532048064 inches2


Or in square centimeters:

Base Surface Area = π×10.162
= 324.2927866224 centimeters2
Lateral Surface Area = π×10.16×√10.162 + 122
= 501.8689189905 centimeters2
Total Surface Area = 826.1617056129 centimeters2
8 0
3 years ago
In the expression 2a + 5 + a -14 + 3b which ones are the constants​
Finger [1]

Answer:

5

Step-by-step explanation:

Constant= # without variable

5 0
3 years ago
Read 2 more answers
*I WILL MARK U BRANLIEST AND GIVE 40 POINTS IF U ANSWER ALL THREE*
Gnesinka [82]

Step-by-step explanation:

1. 18(5)=90           18(6)=108

90*108= 9720

Her size of the original work was 9720 inches.

2. 1/2+1/2= 1      1/2=4 ft

The pole is 8 feet tall

3. 3 feet

3 0
3 years ago
Other questions:
  • PLZZ HELP ASAP !!!!!!!!
    9·1 answer
  • For the x-values 1, 2, 3, and so on, the y-values of a function form a geometric sequence that increases in value. What type of
    10·2 answers
  • which property is illustrated by the following statement? 2(-3/9)=(-3/9)2^? Associative Property of Addition, Commutative Proper
    7·2 answers
  • anonymous 4 years ago The sides of a triangle measure 14.9 centimeters, 23.8 centimeters, and 36.9 centimeters. Find the measure
    7·1 answer
  • 2) Miss Smith buys 10 pounds of cat food every 4 weeks. If she continues to buy the same amount of cat food
    8·2 answers
  • A rectangle has a length of 3.6 in, and a perimeter of 16.8 in.
    8·1 answer
  • Solve on the interval [0,2pi)<br>1+ sin 0=1/2​
    15·1 answer
  • Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How
    8·1 answer
  • 5x – 24 &gt; 26 <br> what is the solution to the inequality?
    13·1 answer
  • Formulate a rational algebraic equation of the problem​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!