A Flagpole casts a 60 foot long shadow on the ground. The angle from the tip of the flagpole to the end of the flagpole's shadow measures 35 degrees. How tall is the flagpole?

Draw a picture and label. Thank you.

you draw a picture fer pete's sake!

Then, having reviewed your basic trig functions, you will see that the height h is found from

h/60 = cot35°

can i use cos(55degrees) = 60/h

which gives me 104.61.
Please check. Thanks!

no cosine. the hypotenuse does not come into the calculation.

To solve this problem, let's start by drawing a diagram to visualize the situation:

```
/|
/ |
/ |
/ |
/ |
/ |
/ |
/_______|
shadow
```

In this diagram, the vertical line represents the flagpole, and the horizontal line represents its shadow. Now let's label the known values:

The length of the shadow is 60 feet.
The angle between the flagpole and its shadow is 35 degrees.

To find the height of the flagpole, we can use trigonometry. Specifically, we can use the tangent function since we have the opposite side (the height) and the adjacent side (the shadow length).

In trigonometry, tan(theta) = opposite/adjacent. In this case, tan(35) = height/60.

To find the height, we can rearrange the equation: height = tan(35) * 60.

Using a calculator, we can find the value of tan(35), which is approximately 0.7002. Therefore, the height of the flagpole is:

height = 0.7002 * 60 = 42.01 feet (rounded to two decimal places).

So, the flagpole is approximately 42.01 feet tall.