Baseball Math problem?

Question

A baseball diamond is a square that measures 90 feet between bases. At a point 20 feet from third base on the line between second and third base, the third baseman catches the ball and throws it to first base. How far was the ball thrown? Express the answer to the nearest tenth of a foot.

Answer 1

(3)......X...........(2)



.........................(1)

X is 70 ft from (2)
(2) is 90 ft from (1)

so you have a
right triangle
with legs 70 and 90.

Use Pythagorean Theorem
To get the Diagonal C
between X and (1)

A^2 + B^2 = C^2
(70)^2 + (90)^2 = C^2
4900 + 8100 = C^2

13000 = C^2
C = 114.0175 ft
rounded = 114 ft

Check your work if
114 squared
is close to 70 squared + 90 squared

Answer 2

that is handy, merely use a factorial, 4!. in case you do no longer comprehend that yet that is merely 4*3*2*a million. that's pondering the certainty that as quickly as he starts out, he can pick all people of them to be first, so he has 4 suggestions. Then for 2nd area he maximum effectual has 3 because of the fact he already picked one. Then for third he easiest has 2 and for fourth he has a million. So the respond is 24 different techniques.

Answer 3

approximately 114 feet!