Question

John has a 10 foot ladder leaning against a wall at an angle of elevation of

53.13 degrees. At what hight does the ladder meet with the wall?

Answer 1

h = 7.5 foot

Explanation:

Given that,

John has a 10 foot ladder leaning against a wall at an angle of elevation of 53.13 degrees.

We need to find the height where the ladder meet with the wall.

Let Perpendicular = 10 foot

Angle of elevation,
`\theta=53.13 ^(\circ)`

Let h be the height (Hypotenuse). Using trigonometry,

`\tan\theta=(P)/(h)\\\\h=(P)/(\tan\theta)\\\\h=(10)/(\tan(53.13))\\\\h=7.5\ foot`

So, the ladder will meet the wall at a height of 7.5 foot.