A person does a handstand with his feet touching a wall and his hands 1.8 feet away from the wall. If the person is 5 feet tall, what angle does his hands make with the ground

Respuesta :

Answer:

68.89 degrees

Step-by-step explanation:

Given that,

A person does a handstand with his feet touching a wall and his hands 1.8 feet away from the wall.

A  person is 5 feet tall

We need to find the angle his hands make with the ground. Let it is [tex]\theta[/tex]. Here, 5 ft will be hypotenuse and 1.8 ft will be base of a triangle. Using trigonometry we get :

[tex]\cos\theta=\dfrac{B}{H}\\\\\cos\theta=\dfrac{1.8}{5}\\\\\theta=\cos^{-1}\left(0.36\right)\\\\\theta=68.89^{\circ}[/tex]

So, his hands will make 68.89 degrees angle with the ground.