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saul85 [17]3 years ago

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Answer:

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4,750 divided by 25 = 190, so 190 centimeters wide.

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For an angle θ with the point (15, −8) on its terminating side, what is the value of cosine?

malfutka [58]

Answer:

The value of cosθ is $\frac{15}{17}$

Step-by-step explanation:

It is given that an angle θ with the point (15, −8) on its terminating side.

Here x=adjacent side=15 units and y=opposite side =-8 units,

Using pythagoras theorem,

$\text{hypotenuse}^2=\text{base}^2+\text{opposite side}^2$

$\text{hypotenuse}^2=(15)^2+(-8)^2$

$\text{hypotenuse}^2=225+64=289$

$\text{hypotenuse}^2=17$

Cosine is defined as

$\cos \theta=\frac{base}{hypotenuse}$

$\cos \theta=\frac{15}{17}$

Therefore the value of cosθ is $\frac{15}{17}$ .

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