**Question 1.**

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

** **

**Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.**

**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?**

**Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.**

**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?**

**Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.**

**= 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.**

jiminblossoms 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

CPhill Jun 6, 2019