A clock tower casts a 150-foot shadow on level ground, as shown below. The angle of elevation from the tip of the shadow to the top of the tower is 40^◦. To the nearest tenth of a foot, what is the height of the clock tower?

cos 40^◦ = sin 50^◦ ≈ 0.77
cos 50^◦ = sin 40^◦ ≈ 0.64
tan 50^◦ ≈ 1.19
tan 40^◦ ≈ 0.84)

A. 194.8
B. 178.5
C. 150.0
D. 126.0
E. 115.5

Transcribed Image Text:

1 150 feet 40°