Question

At some time of the day the length of shadow of a tower is a equal to its height.find the sun altitude at that time

Answer 1

sun,s attitude is 45

Answer 2

$\sf{\large{\underline{\underline{EXPLANATION:}}}}$

We are given that the length of shadow is equal to the height of the tower.

• Refer to the attachment

Let the height of the tower be x

Therefore,

AB=BC=x

Since,we know,,

$\sf{\boxed{\blue{\tan(\theta)=\frac{p}{b}}}}$

$\sf{\implies{\tan(\theta)=\cancel\dfrac{x}{x}}}$

$\sf{\implies{\tan(\theta)=1}}$

Hence,,

$\sf{\boxed{\theta=45°}}$

$\rule{200}2$

❣️❣️★Hope it helps★❣️❣️