Given:
The scale factor between two circles is .
To find:
The ratio of their areas.
Solution:
We know that, all circles are similar.
The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.
The scale factor is the ratio of the corresponding sides.
Ratio of areas of circles = Square of scale factor between two circles
Therefore, the correct option is D.
Answer:
881.5 meters.
Step-by-step explanation:
The horizontal plane at the level of wai-kin's eyes divide the height of the cliff into two parts. Let the upper part be represented by x and the lower part be represented by y.
The height of the cliff = x + y
Applying the appropriate trigonometry functions.
To determine the value of x;
Tan θ =
Tan =
⇒ x = 490 x Tan
= 490 x 0.7265
= 355.985
x = 356 meters
To determine the value of y;
Tan θ =
Tan =
⇒ y = 490 x Tan
= 490 x 1.0724
= 525.476
y = 525.5 meters
Therefore,
The height of the cliff = x + y
= 355.985 + 525.476
= 881.461
The height of the cliff is 881.5 meters.
