Pythagoras' Theorem (1)

A girl guide ties a wire to a flag pole to secure it.

The flag pole is 7 metres long and she is to anchor it 4.5 metres away from the base of the flag pole.

How long must her wire be to do this ?

• 8.32

• 9.45

• 8.56

• 9.21

A man has a ladder 240 cm long. He places it against a wall.

For safety the bottom of the ladder must be 95 cm from the base of the wall.

How high up the wall will the ladder reach (in cm)?

• 179.45

• 200.87

• 220.40

• 190.55

A plane flies due north for 75 Km then due west for 30 km.

How far is the plane from the original starting position ?

• 85.89

• 90.65

• 84.25

• 80.78

A Hockey pitch is 80 metres by 40 metres.

Mandy knocks the ball from one corner flag to the corner flag diagonally opposite.

How far has the ball travelled ?

• 88.46

• 89.44

• 90.24

• 87.24

A square has sides of length 32 cm. Find the length of one of its diagonals.

• 45.25

• 42.55

• 43.78

• 45.10

A ladder reaches 6.8 metres up a vertical wall.

The base of the ladder is on horizontal ground, 1.8 metres away from the bottom of the wall.

How long is the ladder ?

• 6.75

• 7.40

• 7.03

• 6.98

An orienteering course is set out as follows:

From the start travel 6 Km due south, then 4 Km due east and then return to the start.

Find:

a) the distance of the return (last) leg

b) the total distance you would run if you completed the whole course from start to finish.

• a) 5.21

  b) 17.21

• a) 7.21

  b) 17.21

• a) 9.21

  b) 17.21

• a) 7.21

  b) 19.21

Calculate the distance between the coordinates (3,5) and (8,17)

• 10

• 12

• 11

• 13

A ladder is 4.5 metres long. Its foot is standing on a horizontal path.

Its top is resting against a vertical wall.

The foot of the ladder is 2.4 metres from the base of the wall.

How far up the wall is the top of the ladder ?

• 5.02

• 3.81

• 3.67

• 4.98

Lee stands on the end of a pier. The pier is 3.5 metres above the water.

He sees a dog swimming in the water 8 metres away from the base of the pier.

Lee throws the dog a swimming aid attached to some rope to help it return to the pier.

How long must the rope be to reach the dog ?

• 7.68

• 9.65

• 8.73

• 9.21