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MAXImum [283]
3 years ago
13

A light shines from the top of a pole 50ft high. a ball is dropped from the same height from a point 30 ft away from the light.

how fast is the ball's shadow moving along the ground 1/2 sec later? (assume the ball falls at a distance of s=16t^2 in t sec)
Mathematics
1 answer:
belka [17]3 years ago
7 0
The speed of the ball is 
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft

50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt
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What percentage of tickets sold were to seniors?
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<u>Given</u>:

The number of tickets sold to children =35+87+62=184.

The number of tickets sold to adults =56+177+205=438.

The number of tickets sold to seniors =32+14+54=100.

To determine the percentage of tickets sold to seniors we need to determine the total number of tickets sold to each category.

<u>To determine the percentage of tickets sold to seniors:</u>

In order to determine the percentage of tickets sold to the seniors, we divide the tickets sold to seniors by the total number of tickets sold to children, adults, and seniors.

This value is multiplied with 100 to convert it into a percentage.

The number of tickets sold to seniors =100.

The total number of tickets sold to children, adults, and seniors = 184+438+100=722.

The percentage of tickets sold to seniors = \frac{100}{722} (100) = 0.1385(100)=13.85\%.

Rounding this off, we get the value as 13.9%

Hence, option 1 is the correct answer.

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