Pythagoras Theorem
Fill in the blank. When using Pythagoras Theorem, the Hypotenuse side is always directly opposite the ___________?
Right-angle
Fill in the blank. The shorter sides of the triangle in Pythagoras Theorem are labelled _____________.
A and B
When using Trigonometry, what does the A stand for?
Adjacent
When using Trigonometry, what does the H stand for?
Hypotenuse
When using Trigonometry, what does the O stand for?
Opposite
What is the rule for Pythagoras Theorem?
c^2=a^2+b^2
True or False. You do not need to square-root an answer when using Pythagoras Theorem.
False.
True or False. When doing Trigonometry, you can use any rule you want on any triangle.
False
sin (theta)=
O / H
cos(theta)=
A/H
Calculate the length of the hypotenuse if a = 8, b = 10 (to 2 dp)
12.81
Calculate the length of c; if a = 19.2, b = 15 (to 2 dp)
24.36
Calculate the following correct to 4 decimal places.
sin (57)
0.8387
Calculate the following correct to 4 decimal places.
4.7 x cos(62)
2.2065
Calculate the following correct to 4 decimal places.
45 / tan(22)
111.3789
Calculate the length of b; if a = 9, c = 20 (to 2 dp)
17.86
Calculate the length of a; if c = 2.98, b = 0.87 (to 2 dp)
2.85
Using Trigonometry, calculate the Adjacent side when the Opposite side = 4.89 and the angle = 10? Correct to 2 dp.
27.73
Using Trigonometry, calculate the Hypotenuse when the Adjacent side = 21 and the angle = 47? Correct to 2 dp.
30.79
Using Trigonometry, calculate the Opposite side when the Hypotenuse side = 12.5 and the angle = 36? Correct to 2 dp.
7.35
The diagonal of the rectangular NO SMOKING sign is 34 cm. If the height of this sign is 25 cm, calculate the width of the sign, in cm correct to 2 decimal places.
23.04 cm
A hiker walks 2.9 km north, then 3.7 km east. Determine how far in metres she is from her starting point. Give your answer in kilometres to 2 decimal places.
4.70 km
A flagpole, 12m high, is supported by a wire, attached from the top of the pole to the ground. The wire is pegged into the ground 5m from the base. Determine the length of the wire.
13
A tree casts a shadow 21 m long. The angle of elevation of the sun is 60°. What is the height of the tree? Correct to 2 dp
36.37
You are flying a kite and have let out 80 m of string. The kite’s angle of elevation with the ground is 45°. If the string is stretched straight, how high is the kite above the ground? Correct to 2 dp
56.57