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4. x = 7.5

5. x = 17.9

6. x = 18.4

Step-by-step explanation:

4. Cos(60) = x/15

x = 15*Cos(60)

x = 7.5

5. Tan(50) = x/15

x = 15*Tan(50)

x = 17.9

6. Cos(57) = 10/x

x = 10/Cos(57)

x = 18.4

4. 7.5

5. 17.9

6. 18.4

Step-by-step explanation:

remember that you need to use SOH CAH and TOA to find these.

sin = opposite/ hypotenuse

cos = adjacent / hypotenuse

tangent = opposite / adjacent

to find angles you would choose either to use sin, cos, or tan with the two sides that they give you and you would solve with an inverse tangent

to find the side lengths, find the inverse of the formula that you used to find the angle

for example: your first problem would look like this

you have the sides of the hypotenuse and you need to find that adjacent side so this would be a cos function

60 (which is the angle) = cos^-1  [x / 15] x is the adjacent and 15 is the hypotenuse

then you start to isolate x so you do cosine to  both sides and multiply by 15

15 [cos(60)]

plug this into your calculator and TA DA

hope this helps :)

∞ this is your sign

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it