An evergreen tree is supported by a wire extending from 1.5 feet below the top of the tree to a stake in the ground. The wire is 24 feet long and forms a 58° angle with the ground. how tall is the tree?

Approximately (assumption: this tree is perpendicular to the ground.)

Step-by-step explanation:

Refer to the diagram attached (not drawn to scale.)

Label the following points:

Segment would then denote the wire between the tree and the stake. The question states that the length of this segment would be . Segment would represent the between the top of this tree and the point where the wire was connected to the tree.

The question is asking for the height of this tree. That would correspond to the length of segment .

If this tree is perpendicular to the ground, then . Triangle would be a right triangle with segment as the hypotenuse.

The question states that the angle between the wire (segment ) and the ground (line ) is . Therefore, .

Notice, that in right triangle , segment is the side opposite to the angle . Therefore, the length of segment could be found from the length of the hypotenuse (segment ) and the cosine of angle .

.

Rearrange to obtain:

.

In other words, the wire is connected to the tree at approximately above the ground.

Combine that with the length of segment to find the height of the entire tree:

.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

the answer is 21%.