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### Trigonometry Problem

```
Date: 11 Aug 1995 00:45:02 -0400
From: Norm
Subject: pythagoras

Question: A 12 metre ladder is inclined to the vertical at 48 degrees.  How
far is if from the base?
```

```
Date: 11 Aug 1995 10:29:24 -0400
From: Dr. Ken
Subject: Re: pythagoras

Hello there!

This is a classic example of where Trigonometry is the only tool we have if
we want to solve the problem.  Here's how it goes:

|\
| \
|  \
|   \
|    \
|     \
|      \
|       \12 m
|        \
|         \
|          \
|           \
|       48deg\
|_____________\
x

Now since Cos = Adjacent/Hypotenuse, we know that Cos(48) = x/12.  Since the
Cosine of 48 degrees (in radians, 4Pi/15) is 0.669, we have the equation
0.669 = x/12.  Multiplying by 12, we see that x = 8.03 meters.

Pretty fun, eh?

-K
```
Associated Topics:
High School Trigonometry

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