If the length of the shadow of a tower is increasing, then the angle of elevation of the sun also increases

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Please find below the solution to the asked query:

Given : If the length of the shadow of a tower is increasing , then the angle of elevation of the sun also increases .

Here , $\mathrm{\theta }$ is angle of elevation and shadow  =  AB and length of tower = BC 

We know :  tan $\mathrm{\theta }$ = $\frac{\mathrm{Opposite}}{\mathrm{Adjacent}}$ , So

tan $\mathrm{\theta }$ = $\frac{\mathrm{BC}}{\mathrm{AB}}$ , Here BC remain same but AB is increasing and from this ratio we can say that if AB ( Shadow of tower ) is increases , value of  tan $\mathrm{\theta }$ decreases .

We know in tan $\mathrm{\theta }$ if angle decreases value decreases . So

Given statement is false .                                                   ( Ans )

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