Question

“ If parallel lines cut off congruent segments on one transversal, then they cut off

congruent segment on any transversal.” Graph given below shows similar triangles

used to depict fuel economy standards for automobiles. Above thermo can be used to

divide a given segment into any number of segment into any number of segment into

any number of congruent parts.

(i) To find the height of a tree, a group of Girl Guide devised the following method. A girl walks towards the tree along its shadow until the shadow of the top of her

head coincides with the shadow of the top of the tree. If the girl is 150cm tall, her

distance to the foot of the tree is 15 m, and the length of her shadow is 3 m, how

tall is the tree?

(a) 6m (b) 12m (c) 9m (d) 15m​

Answer 1

Answer:

“ If parallel lines cut off congruent segments on one transversal, then they cut off

congruent segment on any transversal.” Graph given below shows similar triangles

used to depict fuel economy standards for automobiles. Above thermo can be used to

divide a given segment into any number of segment into any number of segment into

any number of congruent parts.

(i) To find the height of a tree, a group of Girl Guide devised the following method. A girl walks towards the tree along its shadow until the shadow of the top of her

head coincides with the shadow of the top of the tree. If the girl is 150cm tall, her

distance to the foot of the tree is 15 m, and the length of her shadow is 3 m, how

tall is the tree?

(a) 6m (b) 12m (c) 9m (d) 15m