The flagpole in Terry's schoolyard is 42 ft tall. On a sunny day, the flagpole casts a shadow 20 ft long. What is the angle of elevation of the sun at that moment? Round to the nearest tenth of a degree.

Answers

Answer 1

Answer:

Answer:

64.5°

Step-by-step explanation:

angle of elevation is the angle from the point where the shadow ends. this create a right angle triangle. using tan, you can find the angle.

tan theta = opposite/adjacent

angle = tan^-1(42/20)

angle = 64.5°

Related Questions

The radius of a circle is 6 yards. What is the circle's circumference? Use 3.14 for .
Simplify -2xy+3x-2xy+3x
What is the sum of the first 30 odd numbers? How to calculate it without having to add all of them.
Enzo begins playing video games at 7:10. he logs off at 7:35.
Can 80°, 75 and 20° form a triangle JustifySelect one:0a. Nob. Yesc. None

Find thesimplfies form of the expression Give your answer in scientific notation. (8x10^4)(9x20^-8)

Answers

The Answer Would be 0.0072

4. Jeff and his brother Joe are saving moneyto buy a video game that costs $52. Jeff
earns $8 each week mowing lawns and
spends $2 of it. Joe earns $10 each week
and spends $3 of it. Which expression can
be used to find out how many weeks it will
take for them to save for the video game?
52-[(8 + 2) - (10 + 3)]
b. 52 [(8-2) - (0 - 3)]
52 +[(8-2) + (10 - 3)]
d. 52 + [(8 + 2) + (10 + 3)1
a.

Answers

Answer:

52/[(8 - 2) + (10 - 3)]

Step-by-step explanation:

Jeff earns $8 and spends $2 each week.

Each week he keeps (8 - 2).

Joe earns $10 and spends $ each week.

Each week he keeps (10 - 3).

The total amount they keep each week is

(8 - 2) + (10 - 3).

If you divide the cost of the game by the amount they keep each week, you get the number of weeks.

Answer: 52/[(8 - 2) + (10 - 3)]

Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day. If the original amount of room freshener in the bottle was 40 grams, which of the following graphs best represents the amount of room freshener f(x) that would remain in the bottle after x days?graph of function f of x equals 30 multiplied by 0.88 to the power of x

graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

graph of function f of x equals 50 multiplied by 0.82 to the power of x

graph of exponential function going down from left to right in quadrant 1 through the point 0, 4 and approaching the x axis

Answers

Given:
bottle of room freshener = 40 grams
evaporates at the rate of 15% per day.

f(x) = 40(.85)^x

x y
1 34
2 28.9
3 24.57
4 20.88
5 17.75

graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

Answer:going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

The area of a trapezoid is 150 in squared if the height is 8 in. And the longer base is 23 in. What is the length of the shorter base ?

Answers

$A=150in^2\n\nh=8in;\ a=23in;\ b=?\n\nA=(a+b)/(2)\cdot h\n\n(23+b)/(2)\cdot8=150\n\n(23+b)\cdot4=150\ \ \ \ /:4\n\n23+b=37.5\ \ \ \ /-23\n\nb=14.5\ (in)\leftarrow answer$

Solve the equation for y(x-3)^=4y-12

Answers

remember yuo can do anything to an equaiton as long as you do it to both sides

(x-3)=4y-12
x-3=4y-12
add 12 both sides
x-3+12=4y+12-12
x+9=4y+0
x+9=4y
divid both sides by 4
(x+9)/4=y

First

y(x + -3) = 4y + -12\

Then you would Reorder the terms:
y(-3 + x) = 4y + -12 (-3 * y + x * y) = 4y + -12

And theses (xy + -3y) = 4y + -12(xy + -3y) = 4y + -12

then we would Reorder the terms:xy + -3y = -12 + 4y

then you would Move all terms containing x to the left, all other terms to the right.

so that means we would Add '3y' to each side of the equation.xy + -3y + 3y = -12 + 4y + 3y

then you would want to Combine like terms: -3y + 3y = 0xy + 0 = -12 + 4y + 3y xy = -12 + 4y + 3y
Combine these two 4y + 3y = 7yxy = -12 + 7y
then we would want to Divide each side by 'y'.x = -12y-1 + 7

so after simplifying it, it would be x = 7 + -12y-1

I don’t know if this is correct. Please help !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!