Question

A vertical stick 1 m long Casts a shadow 80 cm long. At the same time a tower Casts a shadow 30 M long. Determine the height of the tower

Answer 1

this will help you...

Answer 2

Answer: Hight of the tower is 37.5 meters

Step-by-step explanation:

A vertical stick height = 1 metre

Height of the shadow = 80 cm = 0.8m

And another tower of shadow height = 30 meters

So, we have to find height of the tower

Let us suppose the stick is a triangle PQR and the tower is the triangle XYZ

According to congruent law,

Angle PQR = angle XYZ (The angle of 90⁰ is equal in both stick and tower )

Angle PRQ = XZY (The angle incidence is equal on both the stick and tower)

So by the congruent triangle triangle XYZ is congruent to PQR ( by angle and angle)

Now,

PQ/XY = QR/YZ

1/XY = 0.8/30

1/XY = 8/300

XY = 300/8= 37.5 meters

So, the height of the tower is 37.5 meter

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