A wheelchair ramp is to be built beside the steps to the lib

A wheelchair ramp is to be built beside the steps to the library. Find the angle of elevation of the 23ft ramp to the nearest degree, if its final height is 6ft. Solve the right triangle with b = 4 and c = 9. To measure the speed of a current, scientists place a paddle wheel in the stream and observe the rate at which it rotates. If the paddle wheel has radius of 0.2m arid rotates at 100 revolutions per minute, find the linear speed of the current in meters per second. Find the amplitude, period, and phase shift then graph one period of the following. (a) y = -sin (pi x) (b) y = 5/2 cos (4x + pi/2) Graph one period and label the asymptotes and zero(s) for y = tan (1/4 x) Graph one period an label the asymptotes, max and mill for y = -2csc(x - pi)

Solution

9.Let the angle of elevation be theta

sin theta=6/23

theta=sin^-1(6/23)=15°

10. a²+b²=c²

a²+4²=9²

a²=65

a=sqrt65