A man sees the bottom and top of a building at a depression of 50° and 35° respectively from the top of a 40m high tower.
a) Draw a rough figure using the given data.
b)Find the distance from tower to building.
c)Find the height of building.
[tan 50°=1.1918,tan 35°=0.7002]
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Answers
Given : A man sees the bottom and top of a building at a depression of 50° and 35° respectively from the top of a 40m high tower.
[tan 50°=1.1918,tan 35°=0.7002]
To Find : a) Draw a rough figure using the given data.
b)Find the distance from tower to building.
c)Find the height of building.
Solution:
Height of building = a m
Height of tower above building = 40- a m
Horizontal Distance between tower and building. = d m
man sees the bottom at a depression of 50°
Angle of Depression = angle of elevation
Tan50° = Height of Tower / Horizontal Distance between tower and building.
=> 1.1918 = 40 / d
=> d = 33.5627 m
Horizontal Distance between tower and building. = 33.5627 m
Tan35° = Height of tower above building / Horizontal Distance between tower and building.
=> 0.7002 = (40 - a) / 33.5627
=> 23.5 = 40-a
=> a = 16.5 m
height of building. = 16.5 m
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Answer:
Given : A man sees the bottom and top of a building at a depression of 50° and 35° respectively from the top of a 40m high tower.
[tan 50°=1.1918,tan 35°=0.7002]
To Find : a) Draw a rough figure using the given data.
b)Find the distance from tower to building.
c)Find the height of building.
Solution:
Height of building = a m
Height of tower above building = 40- a m
Horizontal Distance between tower and building. = d m
man sees the bottom at a depression of 50°
Angle of Depression = angle of elevation
Tan50° = Height of Tower / Horizontal Distance between tower and building.
=> 1.1918 = 40 / d
=> d = 33.5627 m
Horizontal Distance between tower and building. = 33.5627 m
Tan35° = Height of tower above building / Horizontal Distance between tower and building.
=> 0.7002 = (40 - a) / 33.5627
=> 23.5 = 40-a
=> a = 16.5 m
height of building. = 16.5 m