The diagram above shows a semicircular arch over a street that has a radius of 14 feet. A banner is attached to the arch at points A and B, such that AE=EB=5 feets. How many feet above the ground are these points of attachment for the banner, correct to the nearest tenth of a foot?

For Question 4 and 5 refer to the diagram A flagpole that stands on level ground. Two cables, r and s, are attached to the pole at a point 12 feet above the ground and form a right angle with each other. Cable r is attached to the ground to the ground at a point that makes tanx=0.75. Q. What is the sum of the lengths of cables r and s?

For Question 4 and 5 refer to the diagram A flagpole that stands on level ground. Two cables, r and s, are attached to the pole at a point 12 feet above the ground and form a right angle with each other. Cable r is attached to the ground to the ground at a point that makes tanx=0.75. Q. What is the value of cosx?

Jane has to point a cylindrical column that is 14 feet high and that has a circular base with a radius of 3 feet. If one bucket of paint will cover 10pi square feet, how many whole buckets does jane need to buy in order to paint the column, including the top and bottom?

Riders on a Ferris wheel travel in a circle in a vertical plane.A particular wheel has radius 20 feets and revolves at the constant rate of one revolution per minute.How many seconds does it take a rider to travel from the bottom of the wheel to a point 10 vertical feet above the bottom?

A lawn sprinkler sprays water in a circular pattern at a distance of 15 feet from the sprinkler head which rotates through the angle of (5pi)/(3) radians, as shown by the shaded area in the diagram above. What is the area of the lawn, to the nearest square foot, that recieves water from this sprinkler?

A graduation cap is tossed upward . It is f feet above the ground s seconds after it has been thown . The relation ship between f and s is given by the equation f=60 s-17 s ^(2) , where 0 le s le 3.5 . How many feet above the ground is the cap 3 seconds after it is thrown ?

A water hose pipe of cross-sectional area 5cm^(2) is used to fill a tank of 120L . It has been observed that it takes 2 min to fill the tank. Now, a nozzel with an opening of cross-sectional area 1cm^(2) is attached to the hose. The nozzel is held so that water is projected horizontally from a point 1m above the ground. The horizontal distance over which the water can be projected is (Take g=10m//s^(2)) .

A water hose pipe of cross-sectional area 5cm^(2) is used to fill a tank of 120L . It has been observed that it takes 2 min to fill the tank. Now, a nozzel with an opening of cross-sectional area 1cm^(2) is attached to the hose. The nozzel is held so that water is projected horizontally from a point 1m above the ground. The horizontal distance over which the water can be projected is (Take g=10m//s^(2)) .