High School

1.2 m

1.2 m

Susie is 1.13 metres tall

She has a play tent in the shape of a triangular prism.

The diagram shows the front view of the tent.

The front of the tent has been drawn to scale below.

a) Complete the scale drawing.

1.5m

Not drawn accurately

b) Can Susie stand up in the

middle of the tent?

1.5m

Scale: 1 cm represents 60 cm

1 2 m 1 2 m Susie is 1 13 metres tall She has a play tent in the shape of a triangular prism The

Answer :

The height of the tent is smaller than the height of Suzie so she cannot stand up.

How to calculate the height of the tent?

To calculate the height of the tent, the following steps should be taken as follows:

The triangular prism tent is divided into two right triangles using an imaginary line.

The middle height can be calculated using the Pythagorean formula.

c² = a²+b²

1.2²= 0.75²+ b²

b² = 1.2²-0.75²

= 1.44-0.5625

= 0.8775

b = √0.8775

= 0.88m

Since Susie is 1.13m tall, she cannot stand up on the tent that is just 0.88m high.

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