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The Angle Of Depression Of the Top And The Foot Of A flag Pole As Seen From The Top Of A buildings 145 Meters Away Are 26Dgree...Asked by Amanuel
the angle of depression of the top and the foot of a flagpole as seen from the top of a building145 metres away are 26 degree and 34 degree respectively .find the heights of pole and the building?
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Answered by
Reiny
Make your sketch.
I labelled the top of the building P and its bottom Q, the top of the pole A and its bottom B.
So QA = 145 m
Enter all the given angles, after that all angles at A and B can be found
In triangle PQB , angle PBQ = 34° and
tan 34 = PQ/145
PQ = ..... <----- the height of the building
Using cos 34 = 145/PB , you can find PB
In triangle ABP, you know all the angles, and the side PB
Use the sine law to find AB
I labelled the top of the building P and its bottom Q, the top of the pole A and its bottom B.
So QA = 145 m
Enter all the given angles, after that all angles at A and B can be found
In triangle PQB , angle PBQ = 34° and
tan 34 = PQ/145
PQ = ..... <----- the height of the building
Using cos 34 = 145/PB , you can find PB
In triangle ABP, you know all the angles, and the side PB
Use the sine law to find AB
Answered by
henry2,
h1 = ht. of flagpole.
h2 = distance from top of flagpole to top of bldg.
(h1+h2) = ht. of bldg.
Tan34 = (h1+h2)/145.
(h1+h2) =145*Tan34 = 98 m. = ht. of bldg.
Tan26 = h2/145.
h2 = 145*Tan26 = 71 m.
h1 = (h1+h2) - h2 = 98 - 71 = 27 m. = ht. of flagpole.
h2 = distance from top of flagpole to top of bldg.
(h1+h2) = ht. of bldg.
Tan34 = (h1+h2)/145.
(h1+h2) =145*Tan34 = 98 m. = ht. of bldg.
Tan26 = h2/145.
h2 = 145*Tan26 = 71 m.
h1 = (h1+h2) - h2 = 98 - 71 = 27 m. = ht. of flagpole.
Answered by
Rihana
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Compete international students.I am originally from Ethiopia .I am a grade 10 students.now Ethiopia difficult to learn b/c of many reasons so i want to go canada
Answered by
Chaltu
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Answered by
Chaltu
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