Achild looks up in front of himself and sees a hot air balloon in the sky. the angle of elevation from the child to the balloon is 52. the distance from the child to the spot of the ground directly under the balloon is 75 ft. how high is the balloon? (disregard the distance from the ground to the child’s eyes.)

95.996 feet ( Approx )

Step-by-step explanation:

Here, the distance of the child from the spot that is directly under the balloon = 75 ft

Let the distance of the balloon from the ground = h ft

Now, According to the question,

We can write,

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.