Question

Aditya’s boat has come untied and drifted a bit, and is now lodged against several rocks. Aditya is standing atop a cliff that is 35 ft. above the water in the lake. If she stands 10 ft. from the edge of the cliff, she can visually align the top of the cliff with the water at the back of her boat. Her eye level is 5.5 ft. above the ground. Her line of sight forms a 29° angle with the ground on the cliff, as well as with the water at the base of the boat.

Approximately how far out from the cliff is Aditya's boat? Round your answer to the nearest tenth of afoot. Show your work on paper or in the box below.

Aditya's boat is about ___feet from the cliff.

Answer 1

Approximately how far out from the cliff is Aditya's boat is 63.64ft.

Distance

Given:

Standing atop  a cliff above the water =35 ft

Standing at edge of the cliff=10ft

Eye level=5.5ft

Hence:

AE/CD=BC/DE

5.5/35=10/DE

AE=35×10/5.5

AE=350/5.5

AE=63.636ft

AE=63.64ft (Approximately)

Inconclusion  approximately how far out from the cliff is Aditya's boat is 63.64ft.

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