Question

(1)The figure shows two similar triangles: the smaller triangle has a base length of 8 feet and a height of 5 feet (the height of the boy), whereas the second triangle has a base length of 24 feet and a height equal to that of the tree. How tall is the tree? (A) 15 feet (B) 27 feet (C) 38.4 feet (D) 45 feet 24 ft 5 ft 8 ft​

Answer 1

A

Explanation:

since the 2 triangles are similar then the ratios of corresponding sides are in proportion.

let h represent the height of the tree , then

`(h)/(5)` =
`(24)/(8)` = 3 ( multiply both sides by 5 )

h = 3 × 5 = 15

height of tree is 15 feet