Question

I need help solving a few problems and then someone to help check a few answers-- please.
Pictures in the reply (45-45-90 and 30-60-90 triangles)

Answer 1

@ranga

Answer 2

For the first problem, you need to find the hypotenuse in each right triangle and add them up.

For the triangle on the left: cos(45) = adjacent / hypotenuse
hypotenuse = adjacent / cos(45) = 52 / cos(45) = ?

For the triangle on the right: hypotenuse = 98 / cos(30) = ?

Add the two together.

Answer 3

I was told to use the Pythagorean theorem ???

Answer 4

You will get the same answer either way.
For a 45-45-90 triangle: hypotenuse = sqrt(2) * any side = sqrt(2) * 52 = ?

For a 30-60-90 triangle: hypotenuse = 2/sqrt(3) * long leg = 2/sqrt(3) * 98 = ?

Answer 5

im so lost.. is the hypotenuse 2704 because 52^2???

Answer 6

What do you get when you multiply: sqrt(2) * 52 =

Answer 7

73.5391052

Answer 8

Yes. How about 2/sqrt(3) * 98 ?

Answer 9

113.160653

Answer 10

Yes. Add the two numbers. Round your answer to the nearest tenth.

Answer 11

186.7 ?

Answer 12

Yes.

Answer 13

okay what about the next one?

Answer 14

They are asking for the side marked "x" in the diagram so we need to concern only with the 30-60-90 triangle.
In a 30-60-90 triangle, the sides are in the ratio: 1:sqrt(3):2
The side opposite the 30 degrees is: 21
The side opposite the 60 degrees is: x
21:x = 1:sqrt(3) or x/21 = sqrt(3)/1
x = 21 * sqrt(3) =

Answer 15

36.373067?

Answer 16

then do I add 21?

Answer 17

36.373067 need to be rounded to the hundredth place.
So it is 36.37 feet.

Answer 18

ohhh okay i understand.
Next?

Answer 19

I will outline the method but you try to finish it because it uses the same principle as the previous two problems.

The triangle on the right is a 30-60-90 triangle.
The sides will be in the ratio 1:sqrt(3):2
Use the ratio to find AG.

Then BA = BG - AG = 149 - AG (put from above calculation)

The triangle on the left is a 45-45-90 triangle.
The sides will be in the ratio sqrt(2)/2 : sqrt(2)/2 : 1

Use that ratio to find AC.

Answer 20

okay so
BA = 64.9955358
CA= 91.9175682

Answer 21

AC*

Answer 22

Ok I just confused myself