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

The value of cosθ is

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,

Cosine is defined as

Therefore the value of cosθ is .

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.