Question

Challenge! Ready? Write the ratios for sin A and cos A. The triangle is not drawn to scale. http://assets.openstudy.com/updates/attachments/52f5130ae4b0512c88e57688-javo22-1391792928279-4568452232011112633am1351153605.png

Answer 1

Have you heard of SOHCAHTOA?

Answer 2

yes

Answer 3

Hint: it ends in a decimal

Answer 4

Use the parts of SOHCAHTOA of the sine and the cosine.

Answer 5

I hate to tell you this, but it doesn't.

Answer 6

Oh?

Answer 7

Did I make a mistake then?

Answer 8

what is the opposite side of angle A

Answer 9

This type of triangle with the 90degrees and the 45degrees is a special type of triangle. Isosceles, i think. This means that the 7 side and the y side are always equal. the 45degrees and the unlabeled angle are the same, because the angles of the triangle add to 180. so, 180 - 90 -45 = 45. the unknown angle is 45degrees. Which also proves that the sides, 7 and y are the same length.

Then to find x, you can use Pathagorean's theorem. (spelling?) ... which says
C2=A2+B2
where C is the hypotenuse (across from the right angle), and A and B are the other sides.

So, for your problem,
x2=72+72=49+49=98

x=98−−√

Answer 10

an isosceles triangle has two sides of the same length, this one does not

Answer 11

Then Using SOHCAHTOA

hypotenuse = opposite / sin
x = 7 / sin45
x = 9.9

adjacent = opposite / tan
y = 7 / tan45
y = 7

Or using Pythagoras Theorem. A right angle triangle with two 45 degree angles means that two sides are the same. Therefore y also equals 7.

a^2 = b^2 + c^2 where a is the hypotenuse.

x^2 = 7^2 + 7^2
x^2 = 49 + 49
x^2 = 98
x = 9.9

Answer 12

I am redeeming myself....I guess I did it wrong sorry guys.

Answer 13

For a right triangle, the sin of the angle is the ratio of the opposite side divided by the hypotenuse side lengths

Answer 14

the sin of A would simply be 48/50

Answer 15

I see

Answer 16

I should have set up another challenge

Answer 17

I messed up, why???

Answer 18

oh, you are trying to challenge the panel maybe?, so you already know these things then

Answer 19

Yup.

Answer 20

oh, this is my fault, sorry

Answer 21

they need a new tab section, for these type questions