Anjali places a mirror on level
ground to determine the height
of a tree She
stands at a certain distance so
that she can see the top of the
tree reflected from the mirror.
Ajnjali's eye level is 1.8 m above
the ground. The distance of
Anjali and the tree from the
mirror are 1.5 m and 2.5 m
respectively
Answers
The height of the tree is 3 m.
Step-by-step explanation:
Referring to the figure attached below, we have,
BC = the distance between the tree and the mirror = 2.5 m
CD = the distance of Anjali from the mirror = 1.5 m
ED = Anjali’s eye level from the ground = 1.8 m
AB = the height of the tree
Now, consider ΔCDE and ΔCBA, we have
∠C = ∠C ...... [common angle]
∠ABC = ∠EDC = 90° ..... [since both the man and the tower stands vertical with the ground]
∴ By AA similarity, ΔCDE ~ ΔCBA
We know the corresponding sides of the similar triangles are proportional to each other.
∴ CD / BC = ED / AB
⇒ 1.5 / 2.5 = 1.8 / AB
⇒ AB = [1.8 x 2.5] / 1.5
⇒ AB = 3 m ← height of the tree
--------------------------------------------------------------------------------------
Also View:
The angle of elevation of the cloud from a point 60m above the surface of the water of a lake is 30 degree and angle of depression of its Shadow from the same point in a water of lake is 60 degree find the height of the cloud from the surface of water ?
https://brainly.in/question/7405969
Angles of elevation of the top of a tower from two points at distance of 9 m and 16 m from the base of the tower in the same side and in the same straight line with it are complementary. Find the height of the tower.
https://brainly.in/question/12389860
Answer:
idk
Step-by-step explanation:
idk