Quiz

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Read all questions carefully. If your exact value calculations are irrational, round them to the nearest thousandth (three decimals), unless instructed to do otherwise.

When representing coordinates, use parenthesis and a comma.

Example: The point with coordinates of x = 1.5, and y = 2, would be written (1.5,2).

1)

There is a building with a 12 ft high window. You want to use a ladder to go up to the window, and you decide to keep the ladder 5 ft away from the building to have a good slant. How long should the ladder be?

The ladder should be feet long.

 

2)

On a baseball diamond the bases are 90 ft apart. What is the distance from home plate to second base in a straight line?

Home plate to 2nd base is feet, (rounded to the nearest thousandth).

 

3)

An equilateral triangle has vertices at (0,0) and (6,0) in a coordinate plane. What are the coordinates of the third vertex?
You may want to sketch it out.
Round answers to the nearest tenth (one decimal place), if necessary.
Note: The sides of an equilateral triangle are identical in length.

The coordinate to the third vertex is at coordinate .

 

4)

Find out the length of sides a and b on the following triangle:
(Round to the nearest integer).

 

 

5)

Scott wants to swim across a river that is 400 meters wide. He begins swimming perpendicular to the shore he started from but ends up 100 meters down river from where he started because of the current. How far did he actually swim from his starting point?

Scott actually swam feet (Rounded to the nearest tenth of a foot).

 

 

6)

In the Old West, settlers often fashioned tents out of a piece of cloth thrown over tent poles and then secured to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 4 meters high and 3 meters wide?
Hint: Calculate the entire length of the cloth.

The cloth would have to have been meters long.

 

 

7)

The mobile phone company is anchoring 3 wires to the top of their 1200 ft high communication towers. The cable for the 3 support wires comes in a roll that is 3900 ft long. The company requires you to use the entire roll. The cable can only be cut twice to ensure its strength. All cables need to be equal. How long will each cable be and how far from the base of the tower do they need to be anchored?

Each support cable must be feet long and each must be anchored feet from the base of the tower.

 

 

8)

You are planning to put a new digital flat TV on a wall that is 12 ft long and 9 ft high. The digital TV has a diagonal of 72 inches. The length of the TV is twice the width of the TV. How much of the wall will still need to be decorated around the TV?

I will need to decorate approximately square ft. of wall (rounded to the nearest tenth of a foot.

 

 

 

  

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