Question

A museum has a famous statue on display. the crater places the statue in the corner of a rectangular room and builds a 15-foot-long railing in front of the statue. using the information below, find x, the distance visitors will be able to get to the statue. (round answer to the nearest tenth if necessary.)

Answer 1

FULL QUESTION IN THE ATTACHED IMAGE.
 First we look for the angle between the 9 ft side and the 15 ft side.
 We have then:
 theta = Atan (12/9)
 theta = 53.1 Degrees.
 With this angle we can use the following trigonometric relationship to find x:
 sine (53.1) = x / 9
 We clear x:
 x = 9 * sine (53.1)
 x = 7.197161926
 round to the nearest tenth
 x = 7.2 feet
 Answer:
 the distance visitors will be able to get to the statue is:
 x = 7.2 feet