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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Is this problem is about solving for h? If it is, here is the answer:
Answer:
368 sq. units.
Step-by-step explanation:
We have a square of side lengths 20 units and we cut four congruent isosceles right triangles from the corners of the square.
Now, the four isosceles right triangles have one leg equal to 4 units.
Therefore, the area of four triangles = sq. units.
Now, we have the area of the given square is (20 × 20) = 400 sq. units.
Therefore, the area of the remaining octagon will be (400 - 32) = 368 sq. units. (Answer)