Please help !!
2 answers:
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Answer:
the length of his shadow on the building is decreasing at the rate of 0.525 m/s
Step-by-step explanation:
From the diagram attached below;
the man is standing at point D with his head at point E
During that time, his shadow on the wall is y = BC
ΔABC and Δ ADE are similar in nature; thus their corresponding sides have equal ratios; i.e
8y = 24
y = 24/8
y = 3 meters
Let take an integral look at the distance of the man from the building as x, therefore the distance from the spotlight to the man is 12 - x
∴
To find the derivatives of both sides ;we have:
During that time ;
and y = 3
So; replacing the value into above ; we have:
Thus; the length of his shadow on the building is decreasing at the rate of 0.525 m/s
