A bird watcher is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to a bird on top
1 answer:
Answer:
149.43 feet tall
Step-by-step explanation:
From the base of a large tree, a bird watcher is standing 50 feet away.
There is 71.5° of elevation from the bird watcher to a bird on the top of the tree.
If we ignore the height of the observer and consider the height of the tree as h feet, then using trigonometry we can write that
tan 71.5° = =
Hence, h = 50 tan 71.5° =149.43 feet.
Therefore, the tree is 149.43 feet tall. (Answer)
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Answer:
The height of the pile is increasing at the rate of
Step-by-step explanation:
Given that :
Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min
i.e
we know that radius r is always twice the diameter d
i.e d = 2r
Given that :
the shape of a cone whose base diameter and height are always equal.
then d = h = 2r
h = 2r
r = h/2
The volume of a cone can be given by the formula:
Taking the differentiation of volume V with respect to time t; we have:
we know that:
So;we have:
The height of the pile is increasing at the rate of