Question

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

Answer 1

Answer:

h = 7.5 foot

Step-by-step 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,

$\tan\theta=\dfrac{P}{h}\\\\h=\dfrac{P}{\tan\theta}\\\\h=\dfrac{10}{\tan(53.13)}\\\\h=7.5\ foot$

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