Answer:
1. 30
2. 150
Step-by-step explanation:
Lets assume tan(x) = u
Now we solve for 'u'
add 1 on both sides
, divide both sides by 3
Take square root on both sides
We replace tan(x) for 'u'
x = 30 because 
in first quadrant
x = 30 (tan is positive in first quadrant)
x = 150 because 
in second quadrant
tan is negative in second quadrant
It’s c. Where the two planes intersect
Answer: a) It will be a right triangle with a hypotenuse of 75 and a vertical leg that is 62.
b) The length of the kite string is 75 (given in the problem). However, I believe you are looking for the distance from the spot on the ground beneath the kite to Janet. That is about 42.2 m.
To find the missing distance in the right triangle. You have to use the Pythagorean Theorem. I set it up and solve it below.
a^2 + b^2 = c^2
x^2 + 62^2 = 75^2
x^2 + 3844 = 5625
x^2 = 1781
x = 42.2 (about)
