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Question 1.

What is the distance to the earth’s horizon from point P?

X = Blank mi                                         Picture shown below Question 2:

A pilot is flying a plane 4.5 mi above the earth’s surface.

From the pilot’s viewpoint, what is the distance to the horizon?

X = Blank mi              Picture shown below. Question 3:

A person standing at the top of Mountain Aconcagua would be approximately 4.3 mi high. The radius of earth is 3959 mi.

What is the distance to the horizon from this point?

= Blank mi

Question 4:

A cylinder-shaped drainage pipe 66 in. long measures 25.12 in. around.

What is the volume of the drainage pipe?

Enter your answer as a decimal in the box. Use 3.14 for π.

= Blank in³

Question 5:

A farmer has a feed trough in the shape of rectangular prism with a height of 40 cm and a base that is 30 cm wide by 200 cm long.

During the course of one week, the trough needed to be filled 2 times.

How many cubic centimeters of feed were needed during the week?

A. 240,000 cm³

B. 480,000 cm³

C. 720,000 cm³

D. 960,000 cm³

Thank you.

Jun 6, 2019

#1
+2

1.

We have a right triangle....

The Earth's radius  (3959 miles)  forms one leg  and the Earth's radius plus the 15.6 miles forms the hypotenuse

And "x" is the other leg

So.... using the Pythagorean Theorem

x^2 + 3959^2  = (3959 + 15. 6)^2

x^2  =  (3959 + 15.6)^2 - 3959^2       take the square root of both sides

x = √[ (3959 + 15.6)^2 - 3959^2 ]  ≈  351. 8  miles

See if you can do  numbers 2 and 3.....they are similar to this one   Jun 6, 2019
edited by CPhill  Jun 6, 2019
edited by CPhill  Jun 6, 2019
#2
+2

4.

We need to find the radius of the pipe

Circumference =  2 (3.14) * radius

25.12  = 2 (3.14) * radius

25.12 = 6.28 * radius      divide both sides by 6.28

So....the volume of the pipe  =

pi * radius^2  * length of pipe   =

(3.14) *  (4)^2 * (66)   =    3315.84  in^3   Jun 6, 2019
#3
+2

5.

Volume of prism  =  30 *200 * 40  =  240,000 cm^3

Since it needs to be filled twice....then

2 * 240,000 =

480,000 in^3   Jun 6, 2019