Question

Calculate the height of the wall

Answer 1

i)
`5.2\ m`

ii)
`6 \ m`

Explanation:

a) The height of the wall

`tan(\theta) = (opposite)/(adjacent)`

`tan(60) = (x)/(3)\\3 \cdot tan(60) = x\\x \approx 5.2`

b) The length of the ladder

`cos(\theta) = (adjacent)/(hypotenuse) \\cos(60) = (3)/(x)\\x = (3)/(cos(60))\\x = 6`