Question

i really do not understand all this trigonometric ratio nonsense please help

Answer 1

Use △DEF, shown below, to answer the question that follows.

Triangle DEF where angle E is a right angle. DE measures x. DF measures 55. Angle D measures 49 degrees.

What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

Answer 2

this is one of the problems. I really didn't understand this lesson. Can somebody explain what to do for different types of problems?

Answer 3

i don't even know where to begin

Answer 4

SOH CAH TOA

Sin(angle) = opposite/hypotenuse
Cos(angle) = adjacent/hypotenuse
Tan(angle) = opposite/adjacent

for this problem you have the side adjacent to angle(x) and hypotenuse (55)

--> cos(49) = x/55

--> x = 55*cos(49)

Answer 5

I mean cos(49) = x/55

Answer 6

how can you tell what you need for each instance?

Answer 7

you always look where the angle is, and you call that your point of interest or point of reference

Answer 8

whatever distance next to it will be the adjacent and whatever is across it is the opposite side
so that makes
DE = adjacent
EF = opposite

Answer 9

you can rotate the triangle however you want and if you followed the same concept, you won't get confuse

Answer 10

ok

Answer 11

so, depending on the angle and whether its opposite or whatever, what functions do you need to use?

Answer 12

like for each one?

Answer 13

oh wait, is that what dumb cow wrote? ^

Answer 14

remember
soh cah toa

sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tangent = opposite/adjacent

Answer 15

opposite side is always perpendicular to the adjacent side in a right triangle

Answer 16

ok

Answer 17

so, that would give me the length of x?