Asked by jayson austria
from the top of 90 meters high building it is observe that the top of another building make a 40 degree angle depression. if two buildings 75 meters apart how tall is the other building?
Answers
Answered by
Steve
Draw a diagram. If the top of the 90m tower is A, the top of the shorter building is B, draw a horizontal line from B to the 90m tower. Label the intersection C.
Now, ABC is a right triangle, and angle A is 45°. The difference in heights is side b. The distance between the buildings is a.
a/b = tan 50° = 1.192
b = 75/1.192 = 62.92m
So, the shorter building is 90-62.92 = 27.08m tall.
Now, ABC is a right triangle, and angle A is 45°. The difference in heights is side b. The distance between the buildings is a.
a/b = tan 50° = 1.192
b = 75/1.192 = 62.92m
So, the shorter building is 90-62.92 = 27.08m tall.
Answered by
Steve
oops A is 50° (90° - angle of depression)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.