12) Amusement Parks A thrill ride at an amusement park carries riders 160 feet straight up and then releases them for a free fal
l. The time t in seconds that it takes an object in free fall to reach the ground is t =
where d is the distance in feet that it falls. How long does it take the riders to reach the ground? Give your answer as a radical expression in simplest form. Then estimate the answer to the nearest tenth of a second.
where d is the distance in feet that it falls. How long does it take the riders to reach the ground? Give your answer as a radical expression in simplest form. Then estimate the answer to the nearest tenth of a second.
1 answer:
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Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
we know that the area of the room is equal to the area of a rectangle plus the area of a trapezoid
step 1
Find out the area of the rectangle
step 2
Find out the area of the trapezoid
step 3
Sum the areas
substitute the values
Answer:
sec Θ =
Step-by-step explanation:
Using the trigonometric identity
sec²Θ = tan²Θ + 1
Since 270° < Θ < 360° ← that is fourth quadrant, then
sec Θ > 0, thus
sec²Θ = (- )² + 1 =
+ 1 =
, then
sec Θ = =