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Simora [160]
3 years ago
14

From the top of a building, the angle of depression to a point 200 ft in front of the building is 72º. How high is the building?

Mathematics
1 answer:
GaryK [48]3 years ago
7 0

Answer:

x ≈ 50.76

Step-by-step explanation:

Sin72º = \frac{x}{200}

200Sin72º

x ≈ 50.76

Hope this is helpful :')

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According to Gallup’s annual poll on personal finances, while most U.S. workers reported living comfortably now, many expected a
tester [92]

Answer:

- The required percentage to 4 d.p. = 59.5126%

- The required percentage in decimal point to 4 d.p. = 0.5951

Step-by-step explanation:

Proportion that said they have enough money to live comfortably now and expected to do so in the future = 55% = 0.55

Sample size = n = 200

The Central Limit Theorem ensures that we can say that:

1) The sample proportion is equal to the population proportion.

p = μₓ = μ = 0.55

2) Standard Deviation of the sampling distribution = σₓ = √[p(1-p)/n] = √(0.55×0.45/200) = 0.0352

3) We can say that the sample distribution approximates a normal distribution especially when

np > 5 and nq > 5 (which is true for this sample size)

The probability is 90% that less than what sample percentage will say they expect to live comfortably

To find this sample percentage, let that that sample percentage be x' and its z-score be z'

z' = (x' - μ)/σₓ

But we are told that

P(z < z') = 90% = 0.90

Using the normal distribution table

z' = 1.282

1.282 = (x' - 0.55)/0.0352

x' = 0.55 + (0.0352×1.282) = 0.5951264

Hence, the required sample percentage = 59.5126% to 4 d.p.

Hope this Helps!!!

7 0
3 years ago
How to factorise 7x+14
gregori [183]
<span>7x+14 = 7(x+2)
_____________</span>
8 0
3 years ago
This year’s school population in Waterloo is 135 percent of last year’s school population. This year’s student population is 756
sp2606 [1]

Answer:560

Step-by-step explanation:

Let a be the number of students the school have last year

135% of a=756

135/100 x a=756

135a/100=756

Cross multiplying we get

135a=756 x100

135a=75600

Divide both sides by 135

135a/135=75600/135

a=560

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3 years ago
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3 years ago
Solve for the value of x in this equation: -10x+17x-2 = 5(x+4)
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3 0
3 years ago
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