The measures of the legs of the right triangle are:
X = 2.5
Y = 4.3
<h3>
How to find the values of x and y?</h3>
In the image, we can see a right triangle with a hypotenuse with a value of 5, and a known angle.
To find the values of X and Y (the legs of the triangle) we can use the two relations:
Sin(a) = (opposite cathetus)/(hypotenuse)
Cos(a) = (adjacent cathetus)/(hypotenuse)
In this case, we have:
a = 30°
hypotenuse = 5
opposite cathetus = X
adjacent cathetus = Y.
Replacing that in the relations we get:
Sin(30°) = X/5
Sin(30°)*5 = X = 2.5
cos(30°) = Y/5
cos(30°)*5 = Y = 4.3
Learn more about right triangles:
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Answer:
8 hours
Step-by-step explanation:
Given:
Sheyna drives to the lake with average speed of 60 mph and

Sheyna drives back from the lake with average speed of 36 mph

It took 2 hours less time to get there than it did to get back.
Let
be the time taken to drive to lake.
Let
be the time taken to drive back from lake.
hrs ..... (1)
To find:
Total time taken = ?

Solution:
Let D be the distance to lake.
Formula for time is given as:


Putting in equation (1):

So,

So, the answer is:

Answer:
<u>Acute Angle</u>
Step-by-step explanation:
<u>Obtuse Angle</u> is greater than 90 degrees
<u>Right Angle</u> is exactly 90 degrees
<u>Acute Angle</u> is less than 90 degrees
Answer:
Step-by-step explanation:
[8/63] + [ 4/15 ]
= (120 + 652)/945
= 0.82