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DiKsa [7]
3 years ago
12

A vertical pole, 40 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the groun

d to the top of the pole is θ=67∘, use the dimensions given to find the length of the shadow, a, in feet. Do not include the units in your answer.

Mathematics
1 answer:
aksik [14]3 years ago
3 0

Answer:

Lenght of a shadow is 96.6

Step-by-step explanation:

you may use right angle triangle to find distance if you know angle of elevation.

                 

         (a)   adjacent                     (b)  hypotenuse

                             (c)   Opposite

we know that:

adjacent (a)=40

opposite (b)=?

         tan ∅= opposite/adjacent

                 tan 67°=opposite/40

                2.4142  * 40 = adjacent

                adjacent =96.6

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A transformation translates the point S (-1,1) down 2 units and right 3 units. What rule describes this translation. A. (x,y)=(x
Fittoniya [83]
Down = -y
right= +x

Hence rule D. is correct
3 0
2 years ago
Need step by step explanation please.
ryzh [129]

1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³

2. Volume of the cylinder = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³

<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
  • Volume of Cylinder = πr²h
  • Volume of Sphere = 4/3πr³

Diameter of the tennis ball = 4 in. (given)

1. Volume of 1 tennis ball = volume of sphere = 4/3πr³

r = 1/2(4 in.) = 2 in.

Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³

2. Volume of the cylinder = πr²h

Radius of the cylinder (r) = 1/2(4 in.) = 2 in

Height of the cylinder (h) = 3(4 in.) = 12 in

Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)

= 150.8 - 3(33.51) = 50.27 in.³

Learn more about volume of a cylinder and a sphere on:

brainly.com/question/64165

4 0
2 years ago
Ms.Waddell put a 12-inch tall bucket under a leak in her sink. The bucket fills at a constant rate of 1/2 inch in every 1/6 of a
Angelina_Jolie [31]

Answer:

4 hours

Step-by-step explanation:

To solve this question you will simply make a ratio type equation. You know that every 1/6 of an hour, or every 10 minutes, the bucket will fill 1/2 an inch. The bucket is 12 inches tall.

\frac{10 min}{1/2 inch} = \frac{x min}{12 inches}

Cross multiply

120=\frac{1}{2} x

x=240 min

Convert minutes to inches

\frac{240 min}{1}  * \frac{1 hr}{60 min} = 4 hr

Final answer: 4 hours

Hope this helps!

8 0
3 years ago
Please help thank you very much
Tom [10]

Answer:

4x^{2} -6x

Step-by-step explanation:

3 0
3 years ago
Explain how to verify that 3(2x + 5) = 9 + 3x and x = –2 are equivalent equations.
aniked [119]

3 times (2x + 5) is 6x + 15.

6x + 15 = 9 + 3x.

Group by like terms. 6 = -3x

Divide to get x by itself. 6/-3 = -2

Thus -2 = x

6 0
3 years ago
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