<u>Angle A = 30 degrees</u>
1) Use the Pythagorean Theorem: 
--> 
--> 144 + 48 = 
--> 192 =
--> AC = 
2) Figuring out the type of triangle it is
There's a formula on the sides of a certain type of triangle:
--> Hypotenuse: a, Short Leg: a/2, Longer Leg: a/2 * 
That type of triangle perfectly matches the sides of our triangle: 12, 
,
Therefore, this triangle is a 30, 60, 90 triangle.
3) Finding the measure of angle A
--> Angle B is given: 90 degrees
--> The angle that's between Sides AB and AC is 30 degrees
Finally, we can conclude that Angle A is 30 degrees
Answer:
2/25
Step-by-step explanation:
9514 1404 393
Answer:
15/17
Step-by-step explanation:
cos(arctan(8/15)) = 15/17
__
You could assume the ratio values 8 and 15 represent the opposite and adjacent sides of a right triangle. Then the hypotenuse is ...
h = √(8² +15²) = √289 = 17
The cosine is the ratio of the adjacent side to the hypotenuse, so is ...
cos(x) = 15/17
You have to have the same unit of measure. Here your units are "minutes" and "seconds". In order to compare the two, you must change to 240 seconds into minutes (dividing by 60 = 4 mins) OR change the 5 minutes into seconds (multiply by 60 to give you 300 seconds)
They are both on the 2 of the y-axis, so now all you have to do is subrtact the x-axis coordinate of R by the x-axis coordinate of T. That would be (-6)-5 = -11. YOUR ANSWER IS NOT -11. Signs don't matter when your attempting to find distance. Just forget the negative sign(-). It has nothing to do with the answer.
YOUR ANSWER IS 11 UNITS!!!
