24 foot wire is tied from a stake in the ground to the top of flagpole. If the angle elevation from the stake to the top of the flagpole is 53 degrees how far is the stake from the base of the flagpole? Round to the nearest tenth

Answer:14.44 ft

Step-by-step explanation:

Given

Length  of wire [tex]l=24\ ft[/tex]

Angle of elevation [tex]53^{\circ}[/tex]

from the figure

[tex]\Rightarrow \cos 53=\dfrac{b}{24}\\\\\Rightarrow b=24\cos 53=14.44\ ft[/tex]

The answer is,  [tex]14.44 ft[/tex]

The angle between the horizontal and a line of sight from the observer to a place of interest that is "upwards."

An Angle of Depression occurs when the angle moves "downwards."

Given,

Wire's length [tex]l=24ft[/tex]

The elevation angle [tex]53^{0}[/tex]

[tex]cos 53= \frac{b}{24} \\b=24 cos53\\=14.44ft[/tex]

Learn more about angle of elevation here, https://brainly.com/question/88158

#SPJ2

A jacket with an original price of $67.80 is discounted 10%. What is the sale price?

What is the vertex of f(x) = |x + 8| – 3?
(-8,-3)
(-8,3)
(8,-3)
(8,3)

Find the value of x that makes the equation true
3 ( x- 8 ) + 2x = 76

A fish is swimming at a constant rate toward the ocean floor. The equation y=-7x-3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish, given this equation?

A. From a starting point of 7 meters below sea level, the fish is descending 3 meters per second.

B. From a starting point of 7 meters below sea level, the fish ascending 3 meters per second.

C. From a starting point of 3 meters below sea level, the fish is descending 7 meters per second.

D. From a starting point of 3 meters below sea level, the fish is ascending 7 meters per second.​

Simplify the expression to a + bi form:
(-8 – 9i)2

Which polygons are NOT quadrilaterals? Select THREE that apply.

The function p(x) = –2(x – 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from sales be if the price of the T-shirts were $15 apiece?

$15
$28
$172
$244

No links please I need help ASAP
The drama club sells tickets to their spring play. They sell 180 tickets for a
total of $2,248. Adult tickets cost $14 each. Student tickets cost $10 each.
How many adult tickets and how many student tickets do they sell?
Show your work.

Select ALL expressions that simplify to 2x -1.

a. 8x - 6x - 3 - 2
b. 9 -7x + 3x -8
c. x + x - 1
d. 3x + 2 -x - 2
e. -5 + 10x - 8x + 4

help me plzz plzz pleases ​

Up to 12 people, p, can ride in the van.

Find the y-intercept of the line which passes through (-2,-2) and (2,-4).

A number rounded to the nearest thousand is 400,000. The same number rounded to the nearest ten thousand is 350,000. What could be the number

A Ferris wheel has a diameter of 90 feet. If a rider starts at the bottom of the wheel, how many feet does the rider travel after one full turn of the wheel? Record your answer in the boxes. Then fill in the bubbles. Be sure to use the correct place value.​

The cost of a taxi ride is given by the function C(x)=0.75x +2,
where x=distance in miles and C(x)=total cost in dollars.
What are the domain and range of C(x) in this situation?

Help please on this asap

Can someone tell me if this is a adjacent ,vertical or linear

What is m∠1? Help me, please

HELLP
What is the formula for finding the perimeter of a polygon?

For what values of theta, °

f(x)=x^2−10x+21 in factored form

Learning math. The Core Plus Mathematics Project (CPMP) is an innovative approach to teaching mathematics that engages students in group investigations and mathematical modeling. After field tests in 36 high schools over a three-year period, researchers compared the perfor­mances of CPMP students with those taught using a traditional curriculum. In one test, students had to solve applied algebra problems using calculators. Scores for 320 CPMP students were compared with those of a control group of 273 students in a traditional math program. Computer software was used to create a confidence interval for the difference in mean scores (Journal for Research in Mathematics Education, 31, no. 3, 2000).
Conf. level: 95%

Variable: µ(CPMP) — µ(Ctrl)

Interval: (5.573, 11.427)

a) What is the margin of error for this confidence interval?

b) If we had created a 98% confidence interval, would the margin of error be larger or smaller?

c) Explain what the calculated interval means in this con­text.

d) Does this result suggest that students who learn mathe­matics with CPMP will have significantly higher mean scores in applied algebra than those in traditional programs? Explain.

A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?

A.
56 miles

B.
54 miles

C.
36 miles

D.
24 miles

find the product (please list step by step)

( 4x^{7}y^{2} ) ( 3x^{3} y^{2} )

what is 10 x 567 divded by 2 x 45

Chicago, Illinois, has an elevation of 600 feet above sea level. The elevation of Desert Shores, California, is 800 feet less than the elevation of Chicago. Select all options that apply to Desert Shores. *

elevation of –200 feet
elevation of 200 feet
below sea level
at sea level
above sea level

What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x ≤ 2

HELP PLZ BRAINIEST TO WHOEVER RIGHT

What is the approximate value of tan C?
B
13.93
A
3
A. 0.38
B. 0.36
C. 0.93
D. 2.6

What is the volume of the cylinder? Hint: the radius is 2ft in this problem