Let's call the distance from the beach to the playground x.
Let's call the distance from the stand to the parking lot z.
Let's call the base of the biggest triangle in the picture (from the parking lot to the left) y.
Recall the pythagorean theorem: the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
There are three right triangles we can work with.
Triangle with sides 48, x and z. Here z is the hypotenuse so we get the equation

Triangle with sides 27, x and y. Here y is the hypotenuse so we get

Triangle with sides z, y and (48+27). Here (48+27) is the hypotenuse so we get

. That is,

We have 3 equations and 3 unknowns (x, y and z). So let's take the last equation:

and replace

and

using expressions that contain an expression in terms of x from the first two equations we came up with.
That gives us:

which we solve for x as follows:

Now that we know x we can substitute 36 for x into the equation

and solve for z as follows:

This means that the distance from the beach to the parking lot is 36 m and the distance from the stand to the parking lot is 60 m.
Hi there!
To solve, we must use the following trig identity:
sin(u - v) = sin(u)cos(v) - sin(v)cos(u)
We can rewrite the left hand side of the equation as:

Split the fraction:

First fraction reduces to 1:

Simpify each with common arguments:

Answer:
im sorry but i only know the second one, i believe its 224.3
Step-by-step explanation:
We need Probability of drawing a heart Or drawing a face card other than a heart.
This is 1/4 + 9/52 = 11/26
C is the correct choice.
Answer:
$55.24
Step-by-step explanation:
Add $32.78 + $27.24 + $5.22
= 65.24
Subtract 10
= $55.24