Miranda hiked to the top of a waterfall. She wanted to know the waterfall's height, but she was unable to measure it. Miranda created a proportion using the information from triangles PQS and TRS to calculate the height of the waterfall.

How tall is the waterfall? (Round your answer to the nearest foot.)

Question

Miranda hiked to the top of a waterfall. She wanted to know the waterfall's height, but she was unable to measure it. Miranda created a proportion using the information from triangles PQS and TRS to calculate the height of the waterfall.


 

How tall is the waterfall? (Round your answer to the nearest foot.)

anonymous · Answer

attachment

anonymous · Answer

PQS is similar to TRS (A.A.A)
For similar triangles, 
they have the same ratio of sides
so, 
PQ/480 = (256+730)/730
PQ=648(corr. to the nearest integer)