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sineoko [7]
3 years ago
9

A helicopter hovers 1250 feet

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0
Create a right triangle.

The height of the leg will be 1250 feet. We are given an angle of depression of 47°, so we can draw an imaginary line parallel to the base of the triangle.

By the AIA Theorem, the angle of the bottom right side of the right triangle will be 47 degrees.

We want to find the distance between the coast and the island. In other words, find the length of the base of the triangle. We can do so with trigonometric ratios.

tan47 = 1250/x

x = 1166.

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Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one’s annual income to
Vedmedyk [2.9K]

Answer:

Option C)

50 + \dfrac{I}{40}          

Step-by-step explanation:

We are given the following in the question:

I is the annual income of a person in a country R

2 percent of one’s annual income =

\dfrac{2}{100}\times I = 0.02I

1 percent of one’s annual income =

\dfrac{1}{100}\times I = 0.01I

Average of  100 units of Country R’s currency and 1 percent of one’s annual income.

=\dfrac{0.01I + 100}{2}

Income tax =

2 percent of one’s annual income + Average of  100 units of Country R’s currency and 1 percent of one’s annual income.

= 0.02I + \dfrac{100+0.01I}{2}\\\\=50 + \dfrac{0.04I + 0.01I}{2}\\\\=50 + \dfrac{0.05I}{2}\\\\= 50 + \dfrac{I}{40}

Thus, income tax is given by

Option C)

50 + \dfrac{I}{40}

6 0
2 years ago
54. The triangles in the diagram below are congruent.
Reika [66]

Answer:

Angle N should be 64

Step-by-step explanation:

A triangle adds up to 180. So triangle JKL already has 60 towards 180. Triangle ONM already has 56 towards 180. So you have to find the other value needed in order to make 180. 56+60= 116 so we need to find the other angle to make 180. To do so just subtract 180-116 and that gives tou the answer 64 so that would be Angle N

7 0
3 years ago
Can someone help me with number 3 pls
sergejj [24]

Answer:

hypothesis

Step-by-step explanation:

If <em>hypothesis</em> then <em>conclusion</em>

5 0
3 years ago
Mentioneaza rolul indicatiei scenei : vrea sa para nepasator
melomori [17]

Answer:

hi

Step-by-step explanation:

7 0
3 years ago
For the function y = -2+5sin(pi/12(x-2)), what is the maximum value?
myrzilka [38]
To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))

Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8

Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
</span>
8 0
3 years ago
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