Question

3) A bird flies toward a tree limb at a 45-degree angle to the ground along a path that is 50 m long landing on the limb. Determine, in m, how high above the ground the bird is perched.

Answer 1

35 m

Step-by-step explanation:

Given :

The distance of the path from the ground to the tree limb = 50 m

The angle between the path of flight of the bird towards the tree limb and the ground = 45 degrees

Therefore we can determine the height above which the bird perched above the ground by using the rules of the trigonometric ratios as;

We know that ,

`$\sin 45^\circ =\frac{\text{perpendicular}}{\text{hypothenus}}$`

`$\sin 45^\circ =\frac{\text{BC}}{\text{AC}}$`

`$0.7 =\frac{\text{BC}}{\text{50}}$`

`\text{BC }= 0.7 * 50`

= 35

Therefore, the bird perched on the tree limb at a height of 35 m.