The trail is a loop that is 3/4 of a mile long. On Monday, Selma land the loop in 1/6 of an hour. What is selmas unit rate in mi
1 answer:
You might be interested in
Let us think about the trigonometric functions. If we have a right triangle with an angle we call x. Then we define the trigonometric functions as follows:
cos x = adj/hyp
sin x = opp/hyp
tan x = opp/adj
Where opp is the measure of the side opposite the angle x, adj is the measure of the side adjacent to angle x and hyp is the hypotenuse (the longest side).
We are told that cos x = 1/4 which means that the ratio of the side adjacent to the hypotenuse is 1/4. So let’s make adjacent = 1 and the hypoytenuse = 4.
We now have two sides of the right triangle but are missing the third. We use the Pythagorean theorem to find the third side. The Pythagorean Theorem says:
where and b are the lengths of the legs of a right triangle and c is the hypotenuse. For our triangle c = 4, a = 1 and b is the side we don’t know. We could have made b = 1 and solved for a instead since a and b are both legs and can be used interchangeably.
So we end up with the following:
This means that the opposite side =
As a reminder:
opp =
Adj = 1
hyp = 4
Therefore we find sin x and tan x as follows:
sin x = opp/hyp =
tan x = opp/adj =
cos x = adj/hyp
sin x = opp/hyp
tan x = opp/adj
Where opp is the measure of the side opposite the angle x, adj is the measure of the side adjacent to angle x and hyp is the hypotenuse (the longest side).
We are told that cos x = 1/4 which means that the ratio of the side adjacent to the hypotenuse is 1/4. So let’s make adjacent = 1 and the hypoytenuse = 4.
We now have two sides of the right triangle but are missing the third. We use the Pythagorean theorem to find the third side. The Pythagorean Theorem says:
So we end up with the following:
This means that the opposite side =
As a reminder:
opp =
Adj = 1
hyp = 4
Therefore we find sin x and tan x as follows:
sin x = opp/hyp =
tan x = opp/adj =