Question

Lisa spots the mother bird on a branch above the nest. She

measures an angle of elevation to the bird of 67degrees. Find how
high the mother bird is above the ground, to the nearest foot.

Answer 1

To complete the calculations, more data is needed. We only have the angle of elevation of the mother bird, we need one relevant data, as for example, the distance from Lisa to the tree. We'll assume it to be 20 feet.

Answer:

The mother bird is 47 feet above the ground

Explanation:

Right Triangles

They are a special type of triangles that have an internal angle of 90°. In such conditions, the following trigonometric relationship is valid:

`\displaystyle tan\theta=(y)/(x)`

Where
`\theta` is the angle of elevation, y is the height of the triangle and x is the horizontal distance to the vertical leg

We can easily find the height of the tree by solving for y

`y=xtan\theta`

`y=20tan67^o`

`y=47\ feet`

The mother bird is 47 feet above the ground