Question

Question 6

A person standing 35 feet from a street light casts a shadow as shown. What is the height h of the street light? Assume the triangles
are similar
61
101
a
26 ft
30 ft
b
С
45 ft
27 ft
d

Answer 1

Option (D)

Explanation:

From the figure attached,

Since, ΔABD and ΔECD are the similar triangles,

Their corresponding sides will be proportional.

`(AB)/(EC)=(BD)/(CD)`

`(h)/(6)=((x+10))/(10)`

10h = 6(x + 10)

Since, the person is standing 35 feet from a street light,

x = 35 feet

By substituting the value of x in the equation,

10h = 6(35 + 10)

10h = 270

h = 27 ft

Therefore, height of the street light will be 27 feet.

Option (D) is the answer.