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NNADVOKAT [17]
3 years ago
6

An observer stands 25 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rat

e at which the angle of elevation from the observer to the flag is changing at the instant that the flag is 25 feet above eye-level.
Mathematics
1 answer:
Sedaia [141]3 years ago
3 0

Answer:

0.1 rad/s

Step-by-step explanation:

Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft

Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians

Remember that the tan of an angle is OPP/HYP, and so

tan A = h/25, on differentiating, we have

d tan A/dA = sec^2 A = (1/25) dh/dA

Next, we have

25 sec^2 A * dA/dt= dh/dt = 5

Making dA/dt the subject of formula, we have

dA/dt = (1/5) cos^2 A

but cos^2 A from trigonometry = 1/2, this means that

dA/dt = .1 radians/second

If you want to convert to degrees, your have

.1 Rad/s( 180 deg/rad) = 18 degrees/second

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Pavlova-9 [17]

Answer:

Cooper needs 39.8 mL milk for his recipe

Step-by-step explanation:

Let B be the quantity of butter

and

m be the quantity of milk

<u>So according to given statement the whole mixture measures 70.4 mL while butter measures 30.6mL</u>

so,

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m = 70.4 - 30.6

m = 39.8 mL

Cooper needs 39.8 mL milk for his recipe ..

5 0
3 years ago
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Evaluate p-(m-4)(p-q) given m = -6, p=-5 and q=-5
Svetradugi [14.3K]

Answer:

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2 years ago
Kerry and three friends went out for dinner. They split a large pizza and each person had a salad and a soda. They want to leave
klio [65]

Answer:

Each person will pay $ 7.20

Step-by-step explanation:

First we find the total bill

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Salad $2.50

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Sales Tax would be=  8 1/4% of $ 23.35 =$ 1.926= $ 1.93

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Now dividing the bill among 4 persons = $ 28.78/4= $ 7.196 or $ 7.20

Paying the bill equally is better  and convenient than paying alone as each person gets an equal share of pizza, salad and the soda.

3 0
3 years ago
The table represents an exponential function.
Harlamova29_29 [7]

Answer (B) 2/3

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We can use 2/3 to verify the remaining entries:

x=3: 4*2/3 = 8/3 = y(3)

x=4: (8/3)*(2/3)=16/9=y(3)

5 0
3 years ago
What are the factors of 150 and 40? Please help me.​
posledela

Answer:

40: 1, 2, 4, 5, 8, 10, 20, 40

150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Step-by-step explanation:

6 0
3 years ago
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