c Q Search the web 18 Applications and Mo x C D wwwwebassign

c Q Search the web 18 Applications and Mo x C (D www.webassignnet/web/Student/Assignment Responses/last?dep 14392817 The designers of a water park are creating a new side and have sketched some preliminary drawings. The length of the ladder is r- 25 feet, and its angle of elevation is 60 (see figure). (a) Find the height h of the slide. (Round your answer to two decimal places.) (b) Find the angle of depression e from the top of the slide to the end of the side at the ground in terms of the horizontal distance d a rider travels 12/2/201

Solution

sin theta=opposite/hypotenuse

opposite=25    and hypotenuse=h

sin 60=25/h

h=25/sin60=28.89 ft

b. cos theta=adjacent/hypotenuse

adjacent is the horizontal distance

cos theta= adjacent/l

theta=cos^-1(adjacent/l)

c. cos 25= adjacent/25

adjacent=25 cos 25=22.66

cos 30= adjacent/25

adjacent=25 cos 30=21.65

21.65<=adjacent<=22.66