Question

Use the information in the diagram to determine the height of the tree to the nearest foot.

the diagram is not to scale.

A. 60
B. 30
C. 28
D. 120

Answer 1

The correct option is A. The height of tree is 60 ft.

Explanation:

From the given figure it is noticed that the building is creating a right angle triangle from a point and the tree divides the hypotenuse and base in two equal part.

According to midpoint theorem of triangle: In a triangle, if a line segment connecting the midpoints of two sides, then the line is parallel to third side. The length of line segment is half of the length of third side.

Using midpoint theorem of triangle, we can say that the length of tree is half of the building.

`Tree=(1)/(2)* Building`

`Tree=(1)/(2)* 120`

`Tree=60`

Therefore correct option is A. The height of tree is 60 ft.