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natima [27]
3 years ago
5

Help me with this question

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0

Answer:

40.374 ft

Step-by-step explanation:

We assume that the height of the goal on the football field is <em>h </em>(ft)

As it can be seen, the height of the goal is equal to the total of the man's height and the length of AB.

=> h = 5.5 + AB

The triangle ABC in the figure is the right angled triangle with Angle B = 90 degree and BC = 10 ft

In a right triangle, we have the equation as following:

+) tan of an acute angle = length of opposite side/ length of the adjacent side

We have: Angle C = 74 is an acute angle, its opposite side is AB, adjacent side is BC

=> tan Angle C = AB/ BC

=> tan 74° = AB/ 10

=> AB = 10. tan 74° = 34.874 ft

=> h = 5.5 + AB =5.5 + 34.874 = 40.374 ft

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Answer:

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HELP!! joels apartment building is 42 ft tall and casts a shadow of 20ft. If Joel is 6 ft tall, how long is his shadow
zhenek [66]

Step-by-step explanation:

an object and its shadow create a right-angled triangle.

2 objects and their shadows create 2 similar right-angled triangles.

that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.

so,

42 × f = 6

f = 6/42 = 1/7

the length of Joel's shadow is then

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5 0
2 years ago
Rachel saved money to buy art supplies. She used 1/3 of her savings to buy brushes. She used 3/5 of her savings to buy paint. Wh
sashaice [31]

The answer would be 1/15.

Find the greatest common multiple of each fraction, then add them. You will get 1/15 out of it.

3 0
3 years ago
Steven bought five bags of candies for $24.50 total. Which
vladimir2022 [97]

Answer:

4.9

Step-by-step explanation:

24.50 divided by 5 is 4.9

7 0
3 years ago
1
nadya68 [22]

Answer:

41 miles per gallon

Step-by-step explanation:

41 miles ÷ 1    

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41 miles

1 gallons

41 miles

gallon

41 miles per gallon

*Every number divided or multiplied

by 1 is the same number (1÷1=1 / 2÷1=2)*

3 0
3 years ago
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