At 4 pm, a man who is 5 ft. 6 inches tall casts a shadow 5 ft long. At the same time, a flagpole's shadow is 14 ft 2 inches long. Given that triangles JGH and NLM are similar, what is the height of the flagpole? (Hint: Convert all measurements to inches first. Set up a proportion and use cross products to solve.)

a.15 ft. 7 in.
b.10 ft. 6 in.
c.14 ft. 8 in.
d.12 ft. 11 in.

Question

At 4 pm, a man who is 5 ft. 6 inches tall casts a shadow 5 ft long. At the same time,  a flagpole's shadow is 14 ft 2 inches long. Given that triangles JGH and NLM are similar, what is the height of the flagpole? (Hint: Convert all measurements to inches first. Set up a proportion and use cross products to solve.)

a.15 ft. 7 in.
b.10 ft. 6 in.
c.14 ft. 8 in.
d.12 ft. 11 in.

anonymous · Answer

$$\frac{66}{60}= \frac{x}{170}  $$x = 187 inches

anonymous · Answer

So it's none of the answers I listed?

anonymous · Answer

a.

anonymous · Answer

convert 187 to feet, so that would be about 15ft

anonymous · Answer

Yeah I figured it out, thanks though!