Tanya see a bird on top of a light pole that is 27 feet tall. If she is 50 feet from the light pole, approximately how far is she from the bird?
Is the correct answer 57 feet? Thank you
Yes, 56.842... by Pythagoras
which you must have rounded off to 57
To find the approximate distance Tanya is from the bird, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, Tanya is standing 50 feet away from the base of the light pole, and the bird is on top of the pole, which is 27 feet tall. So, we can consider the distance from Tanya to the bird as the hypotenuse, the distance from Tanya to the base of the pole as one of the legs, and the height of the pole as the other leg.
Using the Pythagorean Theorem, we have:
Hypotenuse^2 = Leg1^2 + Leg2^2
Distance from Tanya to the bird (hypotenuse)^2 = Distance from Tanya to the base of the pole (leg1)^2 + Height of the pole (leg2)^2
Distance from Tanya to the bird^2 = 50^2 + 27^2
Distance from Tanya to the bird^2 = 2500 + 729
Distance from Tanya to the bird^2 = 3233
Taking the square root of both sides, we find:
Distance from Tanya to the bird ≈ sqrt(3233)
Using a calculator, we get:
Distance from Tanya to the bird ≈ 56.86 feet
So the approximate distance from Tanya to the bird is approximately 56.86 feet.