17. A man stands 4300 feet from the Burj Khalifa in Dubai (world's tallest building). The angle of
elevation from his eyes (5 feet) to the top of the
building is 32°. How tall is the building?

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:

both triangles are similar because 2 is just smaller than the big one 1 is similar because they are facing different way's but are similar to each other

step-by-step explanation: