A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right angle with
the ground. The other rope forms an angle of 60º with the ground. Which statements are correct?
A) d ≈ 60 ft.
B) d ≈ 66 ft.
C) h ≈ 104 ft.
D) h ≈ 108 ft.
E) angle of depression = 30°
A) d ≈ 60 ft.
B) d ≈ 66 ft.
C) h ≈ 104 ft.
D) h ≈ 108 ft.
E) angle of depression = 30°
1 answer:
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Part A:
Derrick is incorrect.
A yard is equivalent to 3 feet.
Thus, 20 yards will be equivalent to 60 feet.
The width is 20 yard and 2 feet. It's the same as 60 feet and 2 feet, or 62 feet. Thus, Derrick is incorrect.
Part B:
Let's calculate the area of the parking lot.
We know the width is 62 feet from part A.
The length is 30 yards, or 90 feet.
Multiply the length and width to get the area in square feet.
The parking lot has an area of 5580 square foot.
It costs 2 dollars per square foot to repave the parking lot. Multiply the area by 2 dollars.
It will cost $11,160 to repave the whole parking lot.
Derrick is incorrect.
A yard is equivalent to 3 feet.
Thus, 20 yards will be equivalent to 60 feet.
The width is 20 yard and 2 feet. It's the same as 60 feet and 2 feet, or 62 feet. Thus, Derrick is incorrect.
Part B:
Let's calculate the area of the parking lot.
We know the width is 62 feet from part A.
The length is 30 yards, or 90 feet.
Multiply the length and width to get the area in square feet.
The parking lot has an area of 5580 square foot.
It costs 2 dollars per square foot to repave the parking lot. Multiply the area by 2 dollars.
It will cost $11,160 to repave the whole parking lot.