Scale Drawings
Geometry
Draw the sketches illustrated in order to find
the heights in the following exercise
The angle of elevation to the top of the tree is 30o.
Use a scale of 1 cm to 10 m to make a scale drawing. What is the height of the tree?
Angle of
Elevation
?
30o
80 m
Draw the sketches illustrated in order to find
the heights in the following exercise
Use a scale drawing to find the height of the signpost, shown below.
The angle of elevation is 39o and the scale is 1 cm to 1 m.
?
5m
Draw the sketches illustrated in order to find
the heights in the following exercise
If the angle of elevation is 15o, what should be the height of the town house?
Use a scale of 1 cm to 5 m for a scale drawing.
?
15o
45 m
Draw the sketches illustrated in order to find
the heights in the following exercise
David sees the traffic light hanging above the road at an angle of elevation of 15o.
David is 15 m away from the traffic light.
Use a scale of 1 cm to 3 m for a scale drawing.
Find the height of the traffic light, but remember to add the height at
which David is seating on the car.
?
15o
15 m
1m
Draw the sketches illustrated in order to find
the heights in the following exercise
The parachutist’s altimeter has failed. They know that they are approximately
600 m horizontally away from the landing area.
The angle of depression at which they can see the landing area
is approximately 59o.
Quickly workout the height before they hit the ground.
Use a scale of 1 cm to 100 m for a scale drawing.
Angle of
Depression
600 m
59o
?
Draw the sketches illustrated in order to find
the heights in the following exercise
Use scale drawing to find the height of the bow of the boat shown below.
The scale to use should be of 1 cm to 10 m.
?
15o
90 m
Draw the sketches illustrated in order to find
the heights in the following exercise
Calculate the height of the cliff below when
the distance between it and the boat is 400 m.
The angle of depression is 45o.
Choose a suitable scale for the scale drawing.
400 m
45o
?
Draw the sketches illustrated in order to find
the heights in the following exercise
From a point on the ground 300 m from the base of the Empire State Building,
the angle of elevation to the top of the building is 40o.
Find the height of the Empire State Building.
Choose a suitable scale for the scale drawing.
300 m
Draw the sketches illustrated in order to find
the heights in the following exercise
The tourist is admiring the leaning tower of Pizza in Italy.
He is approximately 20 m away from the tower.
If he looks at the top of the tower the angle of elevation is 17o.
How tall is the tower? Choose a suitable scale for the scale drawing.
?
17o
20 m