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dangina [55]
3 years ago
9

I NEED HELP ON NUMBER 12 AND ALSO NEED EXPLANTION

Mathematics
1 answer:
topjm [15]3 years ago
7 0

picture is blurry but if they are similar find the scale between the known sides

 smaller triangle bottom looks like it says 8?

 the larger one is 16

8/16 = 0.5 so the smaller one is half the size of the larger one

 so half of 8 is 4 so y = 4

 since they are similar the angles would stay the same so angle B would be the same as s which is shown as 27 degrees.


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Step-by-step explanation:

Using trigonometric functions we know that x=rcos(\theta) and y=rsin(\theta) where \theta=angle and r is the hypotenuse of the triangle.

First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:

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Now we will calculate the height of the building using the y equation and so:

y=rsin(\theta)\\\\y=\frac{1}{cos(2)} \times sin(2) = \frac{sin(2)}{cos(2)}=tan(2)=0.034921mi

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