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, [tex]\theta=53.13 ^{\circ}[/tex]
Let h be the height (Hypotenuse). Using trigonometry,
[tex]\tan\theta=\dfrac{P}{h}\\\\h=\dfrac{P}{\tan\theta}\\\\h=\dfrac{10}{\tan(53.13)}\\\\h=7.5\ foot[/tex]
So, the ladder will meet the wall at a height of 7.5 foot.
