**Answer:**

The tree is approximately 91.2 ft tall.

**Step-by-step explanation:**

Hi there!

We're told:

- angle of elevation = 69 degrees

- there is a point 35 feet from the tree

If we were to draw this out, it would appear to be a right angle triangle. See the picture below.

Now, to solve for the height of the tree, we can use the sine law:

where <em>a </em>and <em>b</em> are two sides of a right triangle and <em>A</em> and <em>B</em> are the respective opposite angles

Let the height of the tree = h.

Side <em>h</em> is opposite of the angle measuring 69 degrees:

Let the angle opposite of the side measuring 35 feet = A.

Because the sum of a triangle's interior angles is 180 degrees, we know that A=180-90-69=21 degrees.

Use the sine law:

Therefore, the tree is approximately 91.2 ft tall.

I hope this helps!