Help! Stuck on this 3D trigonometry question (area of tiled roof)

betty123

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The diagram shows the roof of a building. The base ABCD is a horizontal rectangle, 7m (AD and BC) by 4m (AB and CD). The triangular ends (ABE and DCF) are equilateral triangles. Each side of the roof is an isosceles trapezium. The length of the top of the roof, EF, is 5m.

a. Calculate the size of the angle between the face EAB and the base ABCD.

b. A roofer charges 125 (British) pounds per square meter to tile a roof. How much would it cost to tile this roof?




Please can you help me?
I'm stuck
 

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The diagram shows the roof of a building. The base ABCD is a horizontal rectangle, 7m (AD and BC) by 4m (AB and CD). The triangular ends (ABE and DCF) are equilateral triangles. Each side of the roof is an isosceles trapezium. The length of the top of the roof, EF, is 5m.

a. Calculate the size of the angle between the face EAB and the base ABCD.

b. A roofer charges 125 (British) pounds per square meter to tile a roof. How much would it cost to tile this roof?




Please can you help me?
I'm stuck
You're stuck where? How far did you get? Please show YOUR work.
 
Last edited by a moderator:
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