The triangles are similar. the area of the larger triangle is 270 square centimeters. what is the area of the smaller triangle?

a. 7.5cm^2

b. 9cm^2

c. 12.5cm^2

d. 45cm^2

The smaller triangle is 1/6 the size of the large one ( 5/30 = 1/

Area is squared 1/6 ^2 = 1/36

Multiply the area of the large triangle by 1/36:

270 x 1/36 = 270 /36 = 7.5

The area is 7.5 cm^2

The answer is A.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,