The angle of elevation to a nearby tree from a point on the ground is measured to be 69∘ . How tall is the tree if the point on the ground is 35 feet from the tree? Round your answer to the nearest tenth of a foot if necessary.

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 a and b are two sides of a right triangle and A and B are the respective opposite angles

Let the height of the tree = h.

Side h 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!

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3