20 points! will mark brainliest!
A 103-foot wire is used to support a utility tower. It runs from the tower to the ground and forms a 24° angle with the ground.

Answer:

Height of Tower = 41.8901 ft

Base to Ground Wire = 94.0905 ft

Step-by-step explanation:

So you want to find the opposing side of the angle, as well as the distance from the base to where the wire is attached to the ground. You would need to use CAH to find the ground, and SOH to find the height. To find the height or opposite, take the Sine of 24°, 0.4067, and times it by your hypoteneuse 103 to get an exact height of 41.8901 ft. Next, use the Cosine of 24°, 0.9135, and times that by your hypoteneuse 103 to get 94.0905 ft.

Here are the equations:

sin(24)=[tex]\frac{h}{103}[/tex]

cos(24)=[tex]\frac{h}{103}[/tex]

The base of the utility tower from the location where wire is attached to the ground is 94.09 feet and the wire attached to the tower at a height of 41.89 feet.

In a right angle triangle ratio of adjacent side to the hypotenuse side is equal the cosine angle between them.

[tex]\cos\theta=\dfrac{a}{c}[/tex]

Here, (a) is the adjacent side, (c) is the hypotenuse side and [tex]\theta[/tex] is the angle made between them.

The length of the wire is 103 foot. This is the hypotenuse side of triangle made by the wire, tower, and ground.

The angle between the wire (hypotenuse side) and ground (adjacent side) is 24 degrees. Therefore, the cosine angle can be given as,

[tex]\cos (24^o)=\dfrac{a}{103}\\0.9135\times103=a\\a=94.09\rm ft[/tex]

In a right angle triangle ratio of opposite side to the hypotenuse side is equal the sine angle between them. Let the height of the tower (opposite side) is b ft. Therefore,

[tex]\sin(24^o)=\dfrac{b}{103}\\0.4067\times103=b\\b=41.89\rm ft[/tex]

Thus, the value from the base of the utility tower from the location where wire is attached to the ground is 94.09 feet and the wire attached to the tower at a height of 41.89 feet.

Learn more about the right angle triangle property here;

https://brainly.com/question/22790996

find the slope of the line using the points given (5,3) and (5,-9)

i got griefed last time so help me out please

What is the answer to 3a + 18 = 12

Please help me with the question please ASAP ASAP please please ASAP please please help please please ASAP please please IM BEGGING FOR Help

Lee earned $240 in the first week of mowing laws; $350 in the second week; $460 in the third week. How much money was earned over the first 5 weeks? *

pls help this is factoring... 100 points

pls i will give u brainlist 14.25×6.50=
how muck i want correct answer in photo plssssss
i will mark as a brainlist
i don't want only answer
i want with step by step​

How do you write the Algebraic Expression for “5 less than the product of three and a number

A line segment has endpoints at A(−4,11) and B(2, 3). Which of the following would be the coordinates of the midpoint of AB ?

Describe the line below using slope and intercept.

y = 3/2x - 4

Find the unknown number. Enter your answer in simplest form.
9/10 - ? = 1/2 ?

what is 5/12 divided by 4/3

I need help. This isn’t school related but it’s for my early college essay. The topic is why is early college a good fit for me? I just need some ideas. I’ll give you brainliest if you answer.

Use the formula V=Bh to find the volume of a gift box
that is 3.5 inches high, 7 inches long, and 6 inches wide.

The diameter of the circular railroad crossing sign below is 16 inches. Find the area of the sign. Use 3.14 for π.

A=πr2=π×r×r i well give you 15 points

A cell phone manufacturer found that on average 1.25% of every hundred cell phone produced by the companies factory how did defective a antenna what decimal is equivalent to 1.25%

Jorge has 24 ounces of baking powder to use for baking loaves of bread. if each loaf of bread requires 1/4 of an ounce of baking powder, how many loaves of bread will Jorge be able to bake?

James is practicing proving geometric theorems. He writes the statements needed for the proof below in different boxes and mixes them up so they are not

After Kim drank some of the orange juice, there was 183 mL of orange juice left in the bottle. When Kim bought the bottle of orange juice, there was 250 mL of orange juice. What was the percent of change in volume of orange juice

Help me out with these will give points!!!

a 10 inch candle burns at a rate of 3 inches per hour , write as an equation?

PLEASE HELP ASAP!!!WILL GIVE BRAINLEAST

Choose the explanation that shows why ΔADE is similar to ΔABC.


A. A dilation with center (0, 0) and scale factor 12 maps ΔABC to ΔADE.
B.A dilation with center (0, 0) and scale factor 2 maps ΔABC to ΔADE.
C.A translation 4 units right and 4 units up maps ΔABC to ΔADE.
D.A rotation 90° about the origin and a translation 2 units up maps ΔABC to ΔADE.

Use the drawing tool(s) to form the correct answer on the provided graph.
Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry for the function below.
g(x) = x^2 + 4x + 3

volume of a cylinder

Simplify 3f-2f+f I need a answer for that please

can you answer this please. I need help​

Please help me with algebra

:( helpppppoooooooooo

A train travels 2 1/2 miles in 1/3 of an hour. How many miles per hour does the train go?
pls, help asap.

what is the volume of a square pyramid with a base length of 4 cm and a height of 9 cm ​