Joel is walking down a street and sees a 115 ft tall building in front of him. he stops 190 feet from the base of the building at the tip of the building's shadow. round answers to three decimal places.a. if there was a piece of rope from the top of the building to joel, how long would it be?b. what is the angle of elevation from joel to the top of the building?c. margaret says that she could find the angle of depression from the top of the building to joel by subtracting the angle of elevation from 90°. is she correct? explain.
Question
Answer:
First, if you look at all the details, you see that the building, Joel and rope form a right angle triangle. a) a²+b²=c²
(115)²+(190)²=c²
√49325=c
222.092 ft =c
b) tanθ= opp/adj
tanθ=115/190
θ=tan⁻¹(115/190)
θ=31.184 degrees
c) Yes, because the angle of depression and angle of elevation, in this case at least, add up to 90 degrees. Due to this, subtracting the angle of elevation by 90 degrees will give angle of depression.
Hope I helped :)
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10 months ago
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