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#### Mathematics 4 ESO – Unit 9 TRIGONOMETRY extra activities

1  –  Calculate the length of the hypotenuse:

• a) The lengths of the catheti are: 3 m and 4 m
• b) The lengths of the catheti are: 38mm and 12 mm
• c) The lengths of the catheti are: 20 cm and 15 cm

2  –  Calculate the length of the other cathetus:

• a) Hypotenuse = 14 m ; cathetus = 6 m
• b) Hypotenuse = 10 m ; cathetus = 4 m
• c) Hypotenuse = 26 cm ; cathetus = 16 cm
• d) Hypotenuse = 15 m ; cathetus = 14 m

3  –  Find the trigonometric ratios for α in these triangles:

• a) Hypotenuse = 6 ; Adjacent side = 5
• b) Adjacent side = 8; Opposite side = 4

4  –  Find the height of towers A and B.

5  –  Watch the video on “Basic Trigonometry: Sin Cos Tan” and using the calculator find:

• a) Sin 32° 29’ 14’’
• b) Cos 18° 9’ 45’’
• c) Tan 5° 58’ 1’’