Question

An electric pole 14m high caste a shadow of 10m. Find the height of a tree that caste a shadow of 15m. Under similar conditions.

Answer 1

the answer is

14:10::x:15

x=14*15=210/10=21

therefore height of the tree is 21m

please mark me as brainliest!!!!

Answer 2

Question:

An electric pole 14m high caste a shadow of 10m. Find the height of a tree that caste a shadow of 15m. Under similar conditions.

To find:

$\bigstar Height \: of \: the \: tree = ?$

Given:

$\bigstar Height \: of \: the \: pole = 14m$

$\bigstar Height \: of \: the \: pole \: shadow = 10m$

$\bigstar Height \: of \: the \: tree \: shadow = 15m$

Answer:

$Height \: of \: the \: tree \: is \: \sf \pink{\bold{21m}}$

Step-by-step explanation:

$\boxed{tan \theta = \frac{opposite \: side}{adjacent \: side} }$

Given, they are under similar conditions

∴ they are equal.

$\implies\frac{14}{10} = \frac{h}{15}$

$\implies\frac{14}{2} = \frac{h}{3}$

$\implies 3(14) = 2(h)$

$\implies h = 3 \times 7$

$\implies \boxed{h = 21m}$

$\therefore Height \: of \: the \: tree \: is \: \underline{ \: {\bold{21m}} \: }$