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Vedmedyk [2.9K]
2 years ago
7

A man is standing near the Washington Monument. At a 60° angle of elevation from the ground, the man sees the top of the 555-foo

t monument. Which measurements are accurate based on the scenario? Check all that apply. The distance from the man’s feet to the base of the monument is feet. The distance from the man’s feet to the top of the monument is feet. The distance from the man’s feet to the top of the monument is 1,110 feet. The distance from the man’s feet to the base of the monument is 277.5 feet. The segment representing the monument’s height is the longest segment in the triangle.

Mathematics
2 answers:
erica [24]2 years ago
8 0

Hope this helps.

Ur welcome.

Savatey [412]2 years ago
3 0
I have tried solving the problem, and none of the values in the choices matched with mine.

Illustrating the problem, it shows a right triangle, one angle is 60° with the opposite vertical side measuring 555 ft which is the height of the monument. Using the pythagorean theorem, the distance between the man's feet to the top of the monument being the hypotenuse (longest side), the hypotenuse would be 640.86 ft and the distance from the man's feet to the monument's base is 320.43 ft.

sin 60 = 555/hypotenuse
hypotenuse = 640.86 ft

tan 60 = 555/base
base = 320.43 ft
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The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5mi
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<h2>Answer:</h2>

In the 5th year

<h2>Step-by-step explanation:</h2>

For the first year, the salary is 1.2million = 1,200,000

For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000

.

.

.

For the last year, the salary is 1.5million = 1,500,000

This gives the following sequence...

1,200,000 1,275,000  .   .   . 1,500,000

This follows an arithmetic progression with an increment of 75,000.

<em>Remember that,</em>

The last term, L, of an arithmetic progression is given by;

L = a + (n - 1)d           ---------------(i)

<em>Where;</em>

a = first term of the sequence

n = number of terms in the sequence (which is the number of years)

d = the common difference or increment of the sequence

<em>From the given sequence,</em>

a = 1,200,000                          [which is the first salary]

d = 75,000                               [which is the increment in salary]

L = 1,500,000                          [which is the maximum salary]

<em>Substitute these values into equation (i) as follows;</em>

1,500,000 = 1,200,00 + (n - 1) 75,000

1,500,000 - 1,200,000 = 75,000(n-1)

300,000 = 75,000(n - 1)

\frac{300,000}{75,000} = n - 1

4 = n - 1

n = 5

Therefore, in the 5th year the maximum salary will be reached.

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9x3/5=5.4 miles

The boys run a combined distance of 5.4 miles.
7 0
2 years ago
A greengrocer sells melons at a profit of 37.5% on price he pays for it.What is the ratio of cost price to selling price
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