In a right triangle, one acute angle is 22º and the hypotenuse is 70 cm. Find the lengths of the legs and the other angle measure.

Adjacent leg (In relation to the angle that is measure 22 degrees)= 70*Cosine 22 or 64.9; Opposite leg (In relation to the angle that is measure 22 degrees)=70* Sin 22 or 26.22

Step-by-step explanation:

The other angle measure is 90-22 or 68.

To find the length of the adjacent leg (a) use cosine. Remember cosine is Adjacent leg over hypotenuse.

Cosine 22= a/70- Multiply by 70

70* Cosine 22=a or about 64.9

To find the length of the opposite leg (o) use sine. Remember sine is Opposite leg over hypotenuse

Sine 22= o/70

70*Sine 22=o

o= about 26.22

33

step-by-step explanation: g=6

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: