Hey! It's me, Mr. Becker and I am here to show you how to create your Trigonometry comic strip!
Boards are measured by their diagonal distance. We can find their width using trigonometry.
The diagonal (hypotenuse) is 15 feet long. The angle given is 37 degrees. Therefore to find the width, we do cosine(37) times 15 to find the width is approximately 12.0 feet long!
If you didn't know, Mr. Becker loves trains! He wants to find the height of this locomotive using its shadow.
The angle of elevation is 52 degrees, the shadow (adjacent side) is 23 feet and he wants to know the height (opposite side)To do so, he takes tan(52) and multiples it by 23. He finds out the locomotive is 29.4 feet tall!
I have been painting my house. I had to figure out a safe angle for my ladder to make with the floor when I lean it up against the wall.
A safe ladder makes a 75 degree angle with the floor. Is Mr. Becker's ladder safe?
We must use inverse trig to find angle measures. Since we have the opposite (8 feet) and adjacent (2 feet) sides, we use tangent.So tan^-1 (8/2) = 76 degreesClose enough! He won't die. :)