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malfutka [58]
3 years ago
8

A blimp is 1100 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those

measurements are 75.2° and 17.9°, how far apart are the two stadiums?

Mathematics
1 answer:
const2013 [10]3 years ago
8 0

Answer:

The two stadiums are approximately 3115.1 meters away from each other

Step-by-step explanation:

Since we can construct two right angle triangles between the blimp and the two stadiums as shown in the attached image, then the distance "x" between the two can be find as the difference between the right triangle legs that extend on the ground.

In order to find the size of such legs, one can use the tangent function of the given depression angles as shown below:

tan(75.2^o)=\frac{1100}{a} \\a=\frac{1100}{tan(75.2^o)}\\a\approx  290.6\,\,meters

and for the other one:

tan(17.9^o)=\frac{1100}{b} \\b=\frac{1100}{tan(17.9^o)}\\b\approx  3405.7\,\,meters

The the distance between the stadiums is the difference:

b - a = 3405.7  - 290.6 meters = 3115.1  meters

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Answer:

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Step-by-step explanation:

Instead, since the divisor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, -cgives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

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You start by placing the c in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an {x}^{2}, the −1 [x] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of {x}^{2} - x + 3.

I am joyous to assist you anytime.

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4 years ago
What is the area of this triangle ?
oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

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Given E(5,1), F(0,4), D(0,8)

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Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}

We need to find the lengths of side DE, EF and FD

Length of side DE = a = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

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