1.
Not to
scale
32
1.7 m
25 m
1.7 m
Sam measures the angle of elevation of the top of a tree as 32°.
His eye is 1·7 m above the ground and 25 m from the tree.
(a)
Calculate the height of the tree.
............................... m
[4]
(b)
The angle of elevation is 32° to the nearest degree.
What is the least possible size of this angle?
................................. °
[1]
The South Wolds Academy
1
(c)
The distance 25 m is measured to the nearest metre. What is the upper bound of this
distance?
................................ m
[1]
2.
OABCD is a square-based pyramid.
The vertex, O, is vertically above M, the centre of the base.
AB = 10 cm, OM = 12 cm.
Calculate angle OAM.
........................................°
[5]
The South Wolds Academy
2