Question

May someone please help me out please?

Answer 1

Step-by-step explanation:

First, we need to find that top angle, which we'll call angle x. We can say 26 is the hypotenuse, and 12 is the adjacent, so we know that:

$\cos(x) = \frac{12}{26}$

Let's solve this, to find X:

$x = { \cos }^{ - 1}( \frac{12}{26} )$

Now that we know what X is, we can use trig to find the missing side, which we'll call y. 48 is the adjacent, and y is the hypotenuse, therefore:

$\cos(x) = \frac{48}{y}$

To find y, let's rearrange:

$y = \frac{48}{ \cos(x) }$

And now let's figure out calculate the value of y (I'm leaving the value of X as just X for the equations, but you will need it to calculate first):

$y = 0.767833242$