# physics

A high fountain of water is located at the
center of a circular pool as in the figure. A
student walks around the pool and estimates
its circumference to be 177 m. Next, the
student stands at the edge of the pool and uses
a protractor to gauge the angle of elevation of
the top of the fountain to be 45.6

.
How high is the fountain?

1. 👍
2. 👎
3. 👁
1. 2 pi r = 177
so
r = 177/(2 pi)

then
tan 45.6 = h/r
so
h = r tan 45.6

1. 👍
2. 👎
2. Wondering how this is physics...

1. 👍
2. 👎
👤
bobpursley
3. it is on my physics assignment so, therefore its physics.

1. 👍
2. 👎

## Similar Questions

1. ### Algebra

Water coming out from a fountain is modeled by the function f(x)= -x^2+5x+4 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds. What does the average rate of change of f(x)

2. ### MATH

The Olympic-size pool at the recreational center is a right rectangular prism 50m long and 25 m wide. The pool contains 3000m of water How deep is the water in the pool?

3. ### math - calculus

Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 9 cubic feet per minute. If the pool has radius 3 feet and height 11 feet, what is the rate of change of the height

4. ### math

A circular swimming pool has radius of 15 feet. The family that owns the pool wants to erect a circular fence that is 5 feet away from the pool. Which is the closest to the circumference of the fence they will need? A. 94.2 ft B.

1. ### physics

Your town is installing a fountain in the main square. If the water is to rise 26 m (85.3 feet) above the fountain, how much pressure must the water have as it moves slowly toward the nozzle that sprays it up into the air? Assume

2. ### Math

Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 3 cubic feet per minute. If the pool has radius 6 feet and height 10 feet, what is the rate of change of the height

3. ### calculus

A circular swimming pool has a diameter of 20 meters, the sides are 3 meters high, and the depth of the water is 2.5 meters. The acceleration due to gravity is 9.8 m/s2 and the density of water is 1000 kg/m3. How much work is

4. ### Trigonometry

1. Brothers Bob and Tom buy a tent that has a center pole of 6.25 feet high. If the sides of the tent are supposed to make a 50deg angle with the ground, how wide is the tent? 2. A swimming pool is 30 meters long and 12 meters

1. ### Mathematics

The tap of a water fountain in a school is very slow and has a rate of flow of 0.4 litres/minute. A student drinks an average of 32Cl of water from the fountain, and there are 10 students at the water fountain, including the one

2. ### Physics

A light source, S, is located 2.9 m below the surface of a swimming pool and 1.7 m from one edge of the pool. The pool is filled to the top with water. At what angle does the light reaching the edge of the pool leave the water?

3. ### Math

Water spraying from a large fountain follows a path modelled by the function h(d) = sa001-1.jpgd2 + 4d, for h ³ 0, where h is the height of the water above the fountain jet and d is the horizontal distance of the water from the

4. ### physics

A jewel thief decides to hide a stolen diamond by placing it at the bottom of a crystal-clear fountain. He places a circular piece of wood on the surface of the water and anchors it directly above the diamond at the bottom of the