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A flagpole and a building stands on the same horizontal level.From the point P at the bottom of the building.the angle of elevation of the top T of the flagpole is 65 degrees from the top Q of the building the angle of elevation of the point T is 25 degrees.If the building is 20m high,Calculate

(a)Distance PT
(b)Height of the flagpole
(c)Distance QT.

Top 10 Answers Show all 15 answers

canyou explain with a diagram and explain better

∆PQT=65-25=40°. ∆PST=90+65=115.

PT=? ST=20m
PTsin40°=20sin115°
PT=28.2m

i dont understand break it down that i can understand.

Height of the flagpole

Sin65°=X/28.2
X=28.2sin65°=25.6m

Distance QT

Cos65°=25.6/X
X=25.6/cos65°=11.9m
To find distance QT
Cos25°=11.9/X
X=11.9/cos25°=13.1m

I don't understand at all is like u don't no what u are doing

Pls I don't understand ,pls explain with diagram

Correct

Plese explain better by using normal arithmetic signs

for distance QT its not cos 65, you wouldn't get 11.9 with that, it is Tan 65, then u would get 11.9

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Did you know?

Did you know that trigonometry can be used to solve real-world problems? In this scenario, with a flagpole and a building standing on the same horizontal level, we can use angles of elevation to calculate various measurements. Given that the angle of elevation from point P at the bottom of the building to the top T of the flagpole is 65 degrees, and the angle of elevation from the top Q of the building to the point T is 25 degrees, we can calculate the following: (a) Distance PT: By drawing a right triangle with PT as the hypotenuse, the opposite side being the height of the building (20m), and the angle of elevation being 65 degrees, we can use trigonometry to find the distance PT. (b) Height of the flagpole: Once we know the distance PT, we can use the angle of elevation (25 degrees) from point Q to point T, along with the known height of the building (20m), and the distance PT, to calculate the height of the flagpole. (c) Distance QT: By subtracting the height of the building (20m) from the height of the flagpole (calculated in part b), we can find the difference in height between points Q and T, which will give us the distance QT.