In playing from the tee, a golfer hooks his drive (hits the ball to the left of the correct direction) at an angle of 24 from the intended direction. He estimates that he has driven the ball 215 yards and that it lies 100 yards from the hole. Assuming his estimates are correct, what is the distance from the tee to the hole, to the nearest yard?
Answers
Answer:
245 yards
Step-by-step explanation:
You could say the tee is at (0, 0) and the hole lies on the x-axis.
The path of the ball is the straight-line so, y = tan(24°)x
215cos(24°) = 196.4
215sin(24°) = 87.4
The ball lands at coordinates (196.4, 87.4).
They say the ball lands 100 yards from the hole, the hole is on a circle of radius 100 that is centered at (196.4, 87.4).
Equation of the circle:
(x-196.4)² + (y-87.4)² = 100²
Since the hole is on the x-axis, it lies at the intersection of the circle and the line y = 0 so:
(x - 196.4)² + (0 - 87.4)² = 100²
x = 244.92
The distance between tee and hole is 245 yards.
Answer:
245 yards
Step-by-step explanation:
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The value of retail price is, $36.
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A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Original price: $32
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Now, The value of markup is,
⇒ 12.5% of $32
⇒ 12.5/100 × $32
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⇒ x ≥ 2-3
⇒ x ≥ -1
Final answer: x ≥ -1~
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Apply rule - ( - a) = a
Convert element to fraction :
Find the LCD 1*3 = 3
Apply the fraction rule :
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Alisha needs $228.
She has been saving up for it.
How much more does she need ?
We'll know that, as soon as we figure out how much she has now.
She has saved $4.75 each week for the past 8 weeks.
That means she has put $4.75 into a jar 8 times.
So now, she has 8 times $4.75 .
How much is 8 times $4.75 ?
The difference between $228 and that number
is how much more she needs.
Over to you.
Take it !