Mathematics, 27.07.2019 12:00 zamudioj92p80d12

The angle of elevation from a soccer ball on the ground to the ground to the top of the goal 34 degrees. if the goal is 8 ft tall, what is the distance from the ball to the goal. draw a picture, and then solve the missing part

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Answer from: tvanek19

Considering the trigonometric relationships, the distance from the ball to the goal is 11.86 ft.

The right triangle is a three-sided polygon that has one of its right angles, that is, it measures 90 °, while the remaining two angles are less than a right angle, but add up to 90 °.

The elements of a right triangle are: the two sides contiguous to the right angle called legs, and the longest side, opposite the right angle, which is the hypotenuse.

Trigonometric relationships are special measures of a right triangle. Remember that the two sides of a right triangle that form the right angle are called the legs, and the third side (opposite the right angle) is called the hypotenuse.

There are three basic trigonometric relationships: sine, cosine, and tangent, which are defined as:

$sine(angle)=\frac{length of leg opposite the angle}{length of hypotenuse}$ $cosine(angle)=\frac{length of leg adjacent the angle}{length of hypotenuse}$ $tangent(angle)=\frac{length of leg opposite the angle}{length of leg adjacent the angle}$

In this case, the trigonometric relation used is the tangent, where:

angle= 34 degreeslength of leg opposite the angle= 8 ftlength of leg adjacent the angle= distante

Replacing in the definition:

$tangent(34)=\frac{8 ft}{distance}$

Solving:

distance× tangent(34)= 8 ft

$distance=\frac{8 ft}{tangent(34)}$

distance= 11.86 ft

Finally, the distance from the ball to the goal is 11.86 ft.

Learn more about trigonometric relationships:

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The angle of elevation from a soccer ball on the ground to the ground to the top of the goal 34 degr

Answer from: michellemonroe012305

Check the picture below.

make sure your calculator is in Degree mode.
The angle of elevation from a soccer ball on the ground to the ground to the top of the goal 34 degr

Answer from: Quest

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing

step-by-step explanation:

Very urgent! for the figures below, assume they are made of semicircles, quarter circles and square

Answer from: Quest

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

Need 45 ! compare the rates at which each of the three students read: which student read at a fa

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The angle of elevation from a soccer ball on the ground to the ground to the top of the goal 34 degr...