Archimedes went to sleep beside a big rock. He wanted to get up at 8 AM, but the alarm clock was yet to be invented! He decided to sleep at the spot where the rock's shadow should end when it's 8 AM so as to be awakened by the direct sunlight.
Archimedes knew that at 8AM, the sunlight reaches the ground at an angle of 43∘
. The rock beside which he slept was 7 meters tall.
How far from the rock did Archimedes go to sleep?
Round your final answer to the nearest hundredth.
Answers
Answered by
1
Answer:
7.51 m
Step-by-step explanation:
d = 7 × tan43° = 7 ÷ 0.932515086.. = 7.50658097.......
d ≈ 7.51 m
Answered by
1
Answer:
7.50 m
Step-by-step explanation:
Sunlight, rock and its shade form a right triangle
Triangle has 43∘ opposite to rock which is 7 m tall
x- is the shade of the rock or base of the triangle
- 7/x= tan 43∘
- x=7/tan 43∘= 7/0.933= 7.50 m
Answer: 7.50 m
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