Find the distance from the ferris directly to Butte.
The picture is of an right triangle. On the left side length is has 42 mi. on the bottom of the triangle it has 56 mi. on the right side there is not number and at the top corner of the triangle it says Ferris on the right corner it says Butte and on the left corner it says Dunlap.
A. 14 mi.
B. 28 mi.
C. 70 mi.
D. 98 mi.
Is the answer C?
Thanks
Correct.
Thank you Ms. Sue :)
You're welcome.
Correct
To find the distance from the Ferris directly to Butte, we can use the Pythagorean theorem, which states that in a right 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, we have a right triangle with the following sides:
- The left side has a length of 42 mi.
- The bottom side has a length of 56 mi.
- The right side, which represents the distance from the Ferris directly to Butte, is unknown.
Using the Pythagorean theorem, we can calculate the unknown side as follows:
Unknown side^2 = left side^2 + bottom side^2
Unknown side^2 = 42^2 + 56^2
Unknown side^2 = 1764 + 3136
Unknown side^2 = 4900
To find the unknown side, we take the square root of both sides:
Unknown side = √4900
Unknown side ≈ 70 mi
Therefore, the distance from the Ferris directly to Butte is approximately 70 mi. This matches answer choice C. So, yes, your answer is correct.