Question

Kaye who is 5 ft and 4 inches tall casts a 24-inch shadow. Her brother Vladimir casts a shadow 3 inches more then her shadow at the same time of the day. How tall is her brother?

Answer 1

Answer:

The height of Vladimir is 12 ft .

Step-by-step explanation:

Given as :

The height of Kaye = h = 5 ft 4 inch = 64 inches     ( ∵ 1 ft = 12 inches )

The length of Kaye's shadow = x = 24 inches

Tan angle = $\dfrac{perpendicular}{base}$

Or, Tan angle = $\dfrac{h}{x}$

Or, Tan angle = $\dfrac{64}{24}$

∴ Or, Tan angle = $\dfrac{8}{3}$

Again

At The same time

The length of Vladimir's shadow = X = 3 inches + 24 inches = 27 inches

Let The height of Vladimir = H inches

i.e Tan angle = $\dfrac{perpendicular}{base}$

Or, Tan angle = $\dfrac{H}{X}$

Or, $\dfrac{8}{3}$ =  $\dfrac{H}{27}$

Or, H = $\dfrac{8\times 27}{3}$

∴   H = 72 inches

i.e H = $\dfrac{72}{12}$  = 6 ft

So, The height of Vladimir = H = 12 ft

Hence, The height of Vladimir is 12 ft . Answer