Question

How do I do b) in the attached file?

Answer 1

≈ 81.6 m

Explanation:

The model of the situation is a right triangle

let h be the height of the cliff

Using the tangent ratio in the right triangle

tan58° =
`(opposite)/(adjacent)` =
`(h)/(50)` ( multiply both sides by 50 )

50 × tan58° = h

We have to add on the height her eye was above ground , then

h = 50 × tan58° + 1.6 ≈ 81.6 m ( to 1 dec. place )