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Batman, who is having a slow year for crime, has resorted to saving cats from very tall buildings. Our fearless 6 foot tall hero is 40 feet from the the Petsmart building the cat was trying to break in to, in order to get his paws on the pumpkin spice cat nip. Batman sights the top of the building at a 30° angle, how high is the building?

Respuesta :

rogermans93

Answer:

29.094 feet tall

Step-by-step explanation:

tan(30) = [tex]\frac{x}{40}[/tex]

so tan is opposite over adjacent which means that we should be able to solve for the opposite as we have the angle (30) and the distance from Batman to to building, which is (40 feet), with these numbers you will do, tan(30) = [tex]\frac{x}{40}[/tex] and from that you will solve for x, and from x you add the 6 foot of batmans height

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