Question

At some time of the day, the length of the shadow of the tower is equal to its height
Find the suns altitude at that time.
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Answer 1

Sun altitude is 90 degree
By Pythagoras

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,,

$\sf{\boxed{Altitude\:of\:sun=\theta=45°}}$

$\rule{200}2$

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