Re: Help With word Problem

Hey bossmann.

Hint: How do you find the radius of the circle using Pythagoras' Theorem and the sin/cos/tan relationship with a right angled triangle?

Re: Help With word Problem

Hello, bossmann!

Quote:

A student is in a stationary hot-air balloon that is momentarily fixed at 1,325 ft above a piece of land.

The pilot looks down 60^{o} (from horizontal) and turns laterally 360^{o}.

a) How many acres of land are contained by the cone created by her line of site?

Looking down, she will see a circle of radius

Code:

` *`

/|\

/ | \

/ | \

/ |30^{o}\

/ | \

/ 1325| \

/ | \

/ | \

/ | \

*---------+---------*

r r

We have: .

The area is: .

I'll let you convert it to acres.

Quote:

b) How high would the balloon be if, using the same procedure, an area 4 times greater is encompassed?

To have four times the area, we must have twice the radius.

Therefore, the height must be twice as high: .

Re: Help With word Problem

thanks for both comments, you guys made it easy