The figure shows the location of a golf ball after a tee shot. How many feet from the hole is the ball?
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Answer: 57 feet
Step-by-step explanation:
a^2 + b^2 = c^2 (Pythagorean Theorem)
a^2 (which is x) + 180^2 = 181^2
180^2 = 32,400
181^2 = 32,761
32,761 - 32,400 = 361
a^2 = 361
√361 = 19 yards
19 x 3 = 57 feet
The number of feet from the hole is the ball is 57 feet.
[tex]a^2 + b^2 = c^2\\\\a^2+ 180^2 = 181^2\\\\180^2 = 32,400\\\\181^2 = 32,761\\\\32,761 - 32,400 = 361\\\\a^2 = 361\\\\\sqrt{361} = 19 yards[/tex]
Now
[tex]= 19 \times 3[/tex]
= 57 feet
Therefore we can conclude that The number of feet from the hole is the ball is 57 feet.
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