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borishaifa [10]
3 years ago
12

I dont understand this problem. Could someone explain it to me?

Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0

Answer:

additive property

Step-by-step explanation:

it is because when you ADD the angles it is EQUAL to the answer

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Plzz help me solve questions 15 and 16...!!
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15.

We have right triangles, with the ladder the hypotenuse of both and the wall the opposite side of both.

Call the ladder length <em>h.</em>

Against the wall we have the opposite of alpha the taller one:

q = h \sin \alpha - h \sin \beta

On the ground adjacent to beta is the longer one

p = h \cos \beta - h \cos \alpha

Dividing

\dfrac p q = \dfrac{  h \cos \beta - h \cos \alpha }{h \sin \alpha - h \sin \beta} =  \dfrac{ \cos \beta -\cos \alpha }{\sin \alpha - \sin \beta} \quad\checkmark

16.

Again I'm too lazy to draw the figure but you should.

Let's call <em>y </em>the height of the tower and <em>x</em> the distance from the observation point on the ground to the base of the tower.

\tan 60^\circ = \dfrac y x

\tan 30^\circ = \dfrac{y - 40}{x}

Since \sin 30 =\cos 60 = \frac 1 2 \textrm{ and } \cos 30 = \sin 60 = \sqrt{3}/2

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\tan 30^\circ = 1/\sqrt{3} = (y-40)/x

Dividing,

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3y - 120 = y

2y = 120

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Answer: Height 60 meters, distance 20√3 meters

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