The diagram shows a 3 cm x 5 cm x 4 cm cuboid.

a) Find length AC.

Give your answer to 2 decimal places.

b) Find angle ACD.

Give your answer to 1 decimal place.

D

4 cm

C

А

3 cm

5 cm

B

a) 5.83 cm

b) 34.4 deg

Step-by-step explanation:

a)

AC is the hypotenuse of a right triangle with legs measuring 3 cm and 5 cm.

c^2 = a^2 + b^2

c^2 = 3^2 + 5^2

c^2 = 9 + 25

c^2 = 34

c = sqrt (34) cm = 5.83 cm

b)

Triangle ACD is a right triangle with right angle DAC.

AD = 4 cm

AC = 5.83 cm

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