Question

During a certain time of a sunny day, the sun casts a shadow of a tree. If the length of the shadow is 30 m, and the
angle of elevation from the end point of the shadow to the tip of the tree is 30 degrees, then the height of the tree is​

Answer 1

Answer:

opo

1+1= magellnan

2+2 lapu lapu

Step-by-step explanation:

• thanks sa points hehehhehe hehehe

Answer 2

Concept

The angle which is formed by the horizontal plane and line of sight is known as angle of elevation.

Given

The length of the shadow given is 30m.

The angle of elevation given is 30 degrees

Find

We need to find the height of the tree

Solution

As we know that the length of the shadow given is the base of the triangle

The height of the tree is the perpendicular of the triangle

Let the height of the tree be h

Now angle of elevation is $tan30$° = $\frac{h}{30}$

∴$\frac{1}{\sqrt{3}} = \frac{h}{30}$

∴ $h =\frac{30}{\sqrt{3} }$

∴ $h = 10\sqrt{3}$

Hence the height of the tree is 10√3

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