A warehouse is $18\text{ m}$ long and $12\text{ m}$ wide, with vertical walls $6\text{ m}$ hig

Question

A warehouse is $18\text{ m}$ long and $12\text{ m}$ wide, with vertical walls $6\text{ m}$ high. Its symmetric pitched roof has sloping edges $7.5\text{ m}$ long in each end cross-section. The ridge is directly above the centre line of the warehouse. Give non-exact numerical answers correct to $3$ significant figures. Find the vertical height of the roof ridge above the ground.[2] Find the distance from a bottom corner to the opposite top corner of the vertical walls.[3] From the same bottom corner, find the angle of elevation of the ridge point at the opposite end.[3]

Accepted Answer

(a) $10.5\text{ m}$ (b) $22.4\text{ m}$ (c) $29.0^\circ$

Warehouse crane beneath a roof

Warehouse crane beneath a roof

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