Howard is designing a chair swing ride. The swing ropes are
4
44 meters long, and in full swing they tilt in an angle of
2
3
∘
23
∘
23, degrees. Howard wants the chairs to be
3.5
3.53, point, 5 meters above the ground in full swing.
How tall should the pole of the swing ride be?
Round your final answer to the nearest hundredth.

the answer is b

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: