Thread: Using Tangent: World Problem

Another problem I have is about a rectangles and adjacent sides. The answer is 53.01degrees and 36.99degrees. Here is the problem:

Two adjacent sides of a rectangle are 14.8cm and 11.9 cm. Find the angles which a diagonal of the rectangle makes with the sides.

Thank You For the Help!

Let the angle between the diagonal and the shorter side be x.

Then,
tan(x)=14.8/11.9


The other angle will be 90-x degrees.

Originally Posted by flutterby

Another problem I have is about a rectangles and adjacent sides. The answer is 53.01degrees and 36.99degrees. Here is the problem:

Two adjacent sides of a rectangle are 14.8cm and 11.9 cm. Find the angles which a diagonal of the rectangle makes with the sides.

Thank You For the Help!

According to my slide rule:

14.8/11.9 = 1.243697
&
Tan(51.198837degrees) = 1.243697465

If I were guessing, my guess is that the sides of the rectangle are 15.8 & 11.9

11.9/15.8 = 0.7532
arctan(0.7532) = 36.987 degrees

Can anyone please show me a diagram or explain how the diagram would look like? Thank you

Originally Posted by flutterby

Can anyone please show me a diagram or explain how the diagram would look like?

rectangle ... with diagonal

Originally Posted by malaygoel

The other angle will be 90-x = 36.99 degrees

can you please explain me this part!? why do I use 90 and how do I know I take this step! Thank You!

Originally Posted by flutterby

can you please explain me this part!? why do I use 90 and how do I know I take this step! Thank You!

Every right triangle has a 90 degree angle in it. The angles in any triangle add up to be 180 degrees. Therefore, in a right triangle with angles a,b, and c, where c is the right angle (90degrees), we have a+b+90=180. If we subract 90 from both sides we have a+b=90. if we had one of these angles (a or b) we could solve for the other one.



Subtract

.

Originally Posted by flutterby

Another problem I have is about a rectangles and adjacent sides. The answer is 53.01degrees and 36.99degrees. Here is the problem:

Two adjacent sides of a rectangle are 14.8cm and 11.9 cm. Find the angles which a diagonal of the rectangle makes with the sides.

Thank You For the Help!

This should help. I forgot to put angle1 inside the parantheses. It should say tan(angle 1)=o/a. Dont forget that o=opposite side of the angle, and a=adjacent side of the angle.

Thank You I get it now, the only problem is that my calculator won't come up with the answer of 53.01. I plug in 14.8/11.9 and I get 1.2435... and then I find the inverse of tangent which gives me 51.19.

Originally Posted by flutterby

Thank You I get it now, the only problem is that my calculator won't come up with the answer of 53.01. I plug in 14.8/11.9 and I get 1.2435... and then I find the inverse of tangent which gives me 51.19.

Your answer is undoubtedly correct.

1) Did you write the problem down correctlty?

2)Does your book have mistakes in it often?

3)Did you copy the answer dow correctly?

If you answer yes to 1 and 3, it is the answer you were given that is wrong.

yup you were right I rechecked =D, it was 15.8 and everything checks up now! Thank you