##### help in trigonometry hw

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5

A man is flying in a hot air ballon in a straight line at a constant rate of 5 feet per second, while keeping it at a constant altitude. as he approaches the parking lot of a market, he notices that the angle of depression from his balloon to a friend's car in the parking lot is 35 degrees. A minute and a half later, after flying directly over this friend's car, he looks back to see his friend getting into the car and observes the angle of depression to be 36 degrees.

Apr 28th, 2015

Sketch this problem.
It's an upside-down triangle.
Label the vertex C (for car)
Label the upper left vertex B, the upper right one A
Now, it's important to recall that in Geometry it is customary to label the side opposite each angle with the same letter as the angle. Do this now. You should have
Side AC = b, BC = a, and AB labeled as c
We want the length of b
We know side a is 5'/sec. X 90 sec. = 450 ft.
So, we have to use the Sine Law that uses 450 ft. and b ft.
c / Sin C = b / Sin B
The only thing missing is angle C
Angle C = 180 - (35 + 36)
Angle C = 180 - 71
Angle C = 109 degrees

450 / Sin 109 = b / Sin 36
450 /0.8167 = b / 0.6293
Work that out to get b =346.75 ft.
346.75 ft. to the nearest whole number

Apr 28th, 2015

Apr 28th, 2015

sorry couldn't finish question ran out of space

Apr 28th, 2015

at that time, what is the distance between him and his friend? the awsner is 273 feet

Apr 28th, 2015

hello?

Apr 28th, 2015

You are right. My calculator has a problem. The value of sine angles is the problem but the rest is good. computing sine 36 and 109 led to the problem

Apr 28th, 2015

thank you soo much

Apr 28th, 2015

...
Apr 28th, 2015
...
Apr 28th, 2015
Sep 23rd, 2017
check_circle