Question

If John is standing at a distance of 60 M away from the tree and observing the bird at an angle of 30 degree what is the height of the branch where the bird the sitting from the ground

Answer 1

Approx. 34.64 meters

Explanation:

To solve this problem, we need to use trigonometry, specifically the tangent function. Here are the steps:

Draw a diagram of the situation. Label the distance from John to the tree as 60 m, and label the angle between John's line of sight and the ground as 30 degrees.

We need to find the height of the branch where the bird is sitting. Let's call this height "h". We can use the tangent function to find h:

tan(30) = h / 60

Simplify the equation by multiplying both sides by 60:

60 tan(30) = h

Use a calculator to find the value of tan(30), which is approximately 0.5774:

60 x 0.5774 = 34.64

Therefore, the height of the branch where the bird is sitting is approximately 34.64 meters.