Originally posted by

**Wayne**View PostThis one requires quite a lot of information to solve.

The first step is to understand that you are now in the field of math called

**Trigonometry**, or "measuring triangles".

People have been fudging around for thousands of years trying to figure out a good way to do this.

Some kind chap wrote down a set of tables that connect the

**angles**in triangles to the

**lengths**of the sides.

If you know an angle and a length, you can use these tables to figure out the other sides.

The first step is to know the names of the sides of the triangle.

They are:

The side opposite to the angle

**,**abbreviated to

**"O"**

The longest side, called the hypotenuse , abbreviated to

**" H"**

And the side next to, or adjacent to the angle, abbreviated to

**"A"**

You are then given three formula.

**S**=

**O/H C**=

**A/H T**=

**O/A**

Most people remember them with the memory aid

**SOHCAHTOA**.

Where the first three letters

**(SOH**) give the first equation. the

**S**ine of the angle = the

**O**pposite side

**divided**by the

**H**ypotenuse side.

So, we look at the problem and see what sides we have.

We have the

**A**djacent side = to 80 feet

and we want to find the

**O**pposite side (the height of the tree).

So we know to use the last three letter in the memory aid.

**TOA**

It means the

**Tan**of the angle equals the

**opposite**side divided by the

**adjacent**side.

In other words.

Tan of angle

**50**degrees =

**opposite**side divided by

**80**feet.

**Rearrange the formula**so the unknown item is by itself.

(multiply both sides by the

**A**djacent side 80).

**T x A = O**

Tan

**50**times by

**80**=

**O**pposite side length.

1.19175359259 x 80 =

**O**

95.3402874075 feet =

**O**

Since the tree is growing and defoliating, we can round the answer to

**95.3**feet for practicality.

( if you were using this in GPS navigation, or to construct a Tesla electric car motor, you would probably go a bit more accurate).

Inside the TESLA ELECTRIC MOTOR. Yes, the triangle is there for a reason.

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