Question

Please help The diagram shows a 5ft student standing near a tree

Answer 1

Answer:

25 ft

Step-by-step explanation:

The diagram shows two triangles that are similar.  Similar triangles have equal angles and sides that are proportional to each other.  Since the base of each triangle is given, we can find the proportion of the sides:

$\frac{smaller}{larger}=\frac{8}{40}=\frac{1}{5}$

Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:

$\frac{1}{5}=\frac{5}{x}$, where 'x' represent the height of the tree

cross-multiply:  x = (5)(5) or 25 ft