A vertical pole, 40 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the groun
d to the top of the pole is θ=67∘, use the dimensions given to find the length of the shadow, a, in feet. Do not include the units in your answer.
1 answer:
Answer:
Lenght of a shadow is 96.6
Step-by-step explanation:
you may use right angle triangle to find distance if you know angle of elevation.
(a) adjacent (b) hypotenuse
(c) Opposite
we know that:
adjacent (a)=40
opposite (b)=?
tan ∅= opposite/adjacent
tan 67°=opposite/40
2.4142 * 40 = adjacent
adjacent =96.6
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at t=0 after being thrown (that is, at initial time), the height of the ball is calculated by h(0) as follows:
At t=1 (sec), the height would be
etc.
The path is parabolic, as we know by seeing that the function is a quadratic polynomial function. This function has been given in factored form as well. From that we can see that the zeros of the function are t=7 and t=-2.
This means that at t=7 sec, the height h is 0, which means that the ball has hit the ground. t=-2 has no significance in the context of our problem so we just neglect it.
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