Hudson (3 3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40∘ 40 ∘ . The kite string is 125 125 ft long. How high is the kite off the ground?

83.35 feet above ground.

Step-by-step explanation:

Please find the attachment.

We have been given that Hudson (3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40 degrees. The kite string is 125 ft long.  

We can see that the string of kite forms a right triangle with an angle of elevation (40 degrees) as shown in the attachment.

To solve for h, we will use sine as sine related opposite side of a right triangle with hypotenuse.

To find the height of kite off the ground, we will add height of Hudson to 80.35 feet as well as he is flying the kite.

Therefore, the kite is approximately 83.35 feet above ground.

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

24/56=hx^7

step-by-step explanation: