Question

if the length of the shadow of a tree is decreasing then the angle of elevation is​

Answer 1

Answer:

Increasing .

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Answer 2

If the length of the shadow of a tree is decreasing then the angle of elevation is increasing.

→ Explanation:

The relationship between the height of the tree (H), the length of the shadow (L) and the angle of elevation (α) is given as:

                                               $\boxed{\bold{tan(\alpha)=\frac{H}{L} }}$

• By the above formula, we can notice that when the length of the shadow of the tree (L) decreases, the value of tan(α) will increase.

• Since tan is an increasing function, therefore on increasing the value of 'α', the value of tan(α) increases and vice versa.

• Since when the length of the shadow of the tree (L) decreases, the value of tan(α) increases. Hence we can also say that on decreasing the length of the shadow of the tree (L) the value of 'α' will also increase.

Hence we can conclude that if the length of the shadow of a tree is decreasing then the angle of elevation is increasing.

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