Question

The sail of a boat is in the shape of a right triangle, as shown below:

The sail of a boat is a right triangle with an acute base angle equal to 50 degrees and the height of the sail is 6 meters.

Which expression shows the length, in meters, of the side adjacent to the 50 degree angle?

6 sin 50°

6 cot 50°

6 by sec 50 degrees

6 by cot 50 degrees

Answer 1

@ganeshie8

Answer 2

sOH cAH tOA
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent

is there a hypotenuse side? is there an opposite side? is there an adjacent side?
once you answer each of these questions, then you will be able to utilize SOHCAHTOA to solve any right triangle question

Answer 3

http://www.mathsisfun.com/algebra/sohcahtoa.html

Answer 4

POOOOOOPYYYYY <3 ok. the one we are trying to find is the adjacent.. hypotenuse is the missing side and opposite is 6

Answer 5

so opposite and adjacent
tan(degrees) = opposite/adjacent
you are solving for the adjacent side
\[\tan(50 \deg) = \frac{6}{x} \rightarrow \frac{\tan (50\deg)}{1}=\frac{6}{x}\]
solve for the adjacent which I labeled as x
you can cross multiply if you know how

Answer 6

idk. .-.

Answer 7

then you need to learn how
http://www.mathsisfun.com/algebra/cross-multiply.html

Answer 8

50x = 6

Answer 9

you need to grab your calculator and do tangent(50 degrees) first!

Answer 10

1.19 .-.

Answer 11

?

Answer 12

i thought it was tan 50... rofl

Answer 13

okay then do the rest
1.19 = 6

Answer 14

1.19 x = 6
solve for x by doing what?

Answer 15

dividing o.o ? 6 / 1.19 ?

Answer 16

yeah do it

Answer 17

5.04

Answer 18

then that is the length of the adjacent side
make sure you use units!

Answer 19

what expression did we use ?

Answer 20

look at the picture
it is UNITS not expression

Answer 21

the given opposite side was 6 WHAT?
6 bears, 6 cooties, 6 dingbats... 6 what?

Answer 22

m.. rofl

Answer 23

meters rofl