Use a trigonometric function to find each value of x. Round to the nearest tenth if necessary. Show work plzzz!!

x = 37.1003638138

Step-by-step explanation:

Use cos = adjacent/hypotenuse

cos41 = 28/x

Multiply x on both sides to get it out of the denominator.

x · cos41 = 28/x · x

Now you have

x · cos41 = 28

Divide both side by cos41 to get x by itself.

x · cos41/cos41 = 28/cos41

Now divide

x = 28/cos41

x = 37.1003638138

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.