Question

If the height and length of the shadow of a man are the same, the angle of elevation of the sum is​

Answer 1

ANSWER:-

• SUM OF ANGLE OF ELEVATION OF SUM IS 45°

DETAILED ANSWER:

Let x be the length of a shadow of a man and y be the height of man.

As per the statement:the length of the shadow of a man is equal to the height of man⇒x = y ----[1]

1]We have to find the angle of elevation(\theta):Using tangent ratio:

$[tex]\tan = \frac{\text{Opposite side}}{\text{Adjacent side}}$

See the diagram shown below:Opposite side = height of man = y and Adjacent side = length of the shadow of a man = x then;

$\tan \theta = \frac{y}{x}$----[2]

Substitute the equation [1] into [2] we get

$tan \theta = \frac{x}{x}=1$

or

$\theta = \tan^{-1}(1) \\ ⇒\theta =45^{\circ}$

Therefore, the angle of elevation is 45 degree