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meriva
3 years ago
13

Archimedes knew that at 7 AM, the sunlight reaches the ground at an angle of 31, degrees. The rock beside which he slept was 5 m

eters tall.How far from the rock did Archimedes go to sleep?Round your final answer to the nearest hundredth. *
Mathematics
1 answer:
evablogger [386]3 years ago
7 0

Answer: Archimedes go to sleep at 8.32 metres away from the rock.

Step-by-step explanation:

Given that the rock beside which he slept was 5 meters tall

Height h = 5m

Angle Ø = 31 degree

To get distance x away from the rock, we will use trigonometry function. SohCahToa

TanØ = opposite/adjacent

Tan 31 = 5/x

x = 5/tan31

x = 8.32m

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