# Calculus

A gallon rises at the rate of 8 feet per second from a point on the ground 12 feet from an observer. To 2 decimal places in radians per second, find the rate of change of the angle of elevation when the ball on is 9 feet above the ground. Type your answer in the space bellow. If your answer is a number less than 1, place a leading "0" before the decimal point (ex:0.35)

1. 👍 0
2. 👎 0
3. 👁 263
1. Make your sketch. (What is rising, a gallon, a ball or a balloon ????)

let the height of "whatever is rising" be y ft
let the angle of elevation be Ø
tanØ = y/12
y = 12 tanØ
dy/dt = 12sec^2 Ø dØ/dt

in your sketch, let y = 9
then h^2 = 12^2 + 9^2 = 225
h = 15
then cosØ = 12/15 = 4/5
secØ = 5/4
sec^2 Ø = 25/16

now you got all your values to put into
dy/dt = 12sec^2 Ø dØ/dt

1. 👍 0
2. 👎 0
2. Yes I'm sorry, i meant to type "balloon". I'm still a little confused, can you give me the exact number that is the answer so I can better understand please?

1. 👍 0
2. 👎 0
3. Giving you the "exact" number, will not help you understand it, the solution I gave you

1. 👍 0
2. 👎 0
4. ok but I need to finish with the exercise with the answer but I don't understand. Can you finish with my question please?

1. 👍 0
2. 👎 0

## Similar Questions

1. Mac’s farm has a total of 18 horses and 27 cows. What is the ratio of horses to cows in simplest form? (1 point) 6 over 9 18 over 27 2 over 3 three over two 2. A class has 27 students. Fifteen are boys and the rest are girls.

asked by Delilah on October 25, 2012
2. ### geometry

Jackson is painting the side of his school. He paints a wall that has an area of 41 1/3 square yards. He uses 2 1/3 gallons of orang paint. What is Jackson's rate of paint coverage in square yards per gallon? The label on the

asked by asford on January 14, 2016

1. Mac’s farm has a total of 18 horses and 27 cows. What is the ratio of horses to cows in simplest form? (1 point) 6 over 9 18 over 27 2 over 3 three over two 2. A class has 27 students. Fifteen are boys and the rest are girls.

asked by Delilah on October 25, 2012
4. ### Math

A scuba diver dives to a depth of 50 feet, then rises 15 feet, sinks 12 feet, then rises 20 feet. Write an expression to describe this situation. Then solve it.

asked by Amelia on September 3, 2015
5. ### Calculus

A balloon rises at the rate of 8 feet per second from a point on the ground 60 feet from an observer. Find the rate of change of the angle of elevation when the balloon is 25 feet above the ground. I have

asked by Anonymous on October 29, 2014
1. ### MATHS

A plane is flying at 31,348 feet. It needs to rise to 36,000 feet in two stages. In stage 1, it rises 5% of its initial altitude of 31,348 feet. In stage 2, it rises at a rate of 140.3 feet per minute. How many minutes does it

asked by roma on May 24, 2016
2. ### maths

A plane is flying at 31,348 feet. It needs to rise to 36,000 feet in two stages. In stage 1, it rises 5% of its initial altitude of 31,348 feet. In stage 2, it rises at a rate of 140.3 feet per minute. How many minutes does it

asked by roma on May 24, 2016
3. ### Math

A scuba diver dives to a depth to a of 50 feet, then rises 15 feet, sinks 12 feet, then rises 20 feet, whats the answer?

asked by Matthew on September 14, 2015
4. ### Math

1.What is the unit rate for Fred's Sub shop?(Will post photo/link in the comments) A. \$10 for 2 subs B. \$5 for 2 sub C. \$1 for 1/5 of a sub D. \$30 for 6 subs 2. What is the slope-intercept equation for the cost of a sub at Fred's

asked by Savaline on May 8, 2015
5. ### Math

A room is 18 feet long, 14 feet wide , 8 feet high. find the cost of painting the four walls with two coats of paint costing \$9.50 per gallon. each gallon covers 256 ft squared want with 1 coat .

asked by Mathdude on February 24, 2011

More Similar Questions