Download Math 10 – Trigonometry Review Package NAME: What is the length

Math 10 – Trigonometry Review Package
NAME:______________________
1. What is the length of the longest side of
a right angled triangle if the two shorter
sides are 3cm and 4cm?
2. Find the missing angle:
3. Find the area of the equilateral triangle.
4. Find the value of x in the following
diagram:
5. Find the missing side length:
7. Find the length of AB
6. Find the length of EG to 1 decimal place.
8. Find the missing angle:
Math 10 – Trigonometry Review Package
NAME:______________________
9. What is the length of the longest side of
a right angled triangle if the two shorter
sides are 6cm and 8cm?
10. The angle of depression from a hot air
balloon to its landing is 12 . If the
balloon is 175ft high, find the distance
measured along the ground from the
target.
11. Find the area of the following triangle:
12. Find 1 possible value for B
13. Find the area of the regular heptagon:
14. What is the length of the longest side of
a right angled triangle if the two shorter
sides are 5cm and 12cm?
15. Find the missing angle:
16. Find the value of x in the following
diagram:
Math 10 – Trigonometry Review Package
NAME:______________________
17. Find the length of AB to 1 decimal place.
18. Find the missing side length:
19. A rectangular swimming pool is 21m
wide and 50m long. Calculate the length
of a diagonal to 1 decimal place.
20. Find the length of JK to 1 decimal place.
21. What is the length of the longest side of
a right angled triangle if the two shorter
sides are 3cm and 4cm?
22. Find the missing side length:
23.
Find the value of A
24. Find the area of the following triangle:
Math 10 – Trigonometry Review Package
NAME:______________________
25. Find the value of x in the following
diagram:
26. A triangle has two sides with lengths of 20
and 15. The measure of the angle opposite
the side with a length of 15 is 35°. Find all
the possible measures of the angle opposite
the side with a length of 20 to the nearest
degree.
27. A ladder is 6m long. How far from the
base of a wall should it be placed if it is
to reach 5m up the wall? Give your
answer correct to 1 decimal place.
28. What is the angle formed with the
ground by a 32ft ladder if it is leaning
against a wall at a height of 28ft?
29. One side of a right angled triangle is
10cm. The other two sides are both of
length x. Calculate x to 3 significant
figures.
30. Find the value of x in the following
diagram:
Math 10 – Trigonometry Review Package
NAME:______________________
31. Find the area of the following triangle:
32. A kite is flying 115ft above the ground.
The length of the sting to the kite is
150ft (assume that the sting is attached
to the ground). Calculate the angle of
elevation of the kite.
33. Find all of the missing sides and angles for
the following triangle:
34. Find all of the missing sides and angles for
the following triangle:
ABC with a = 8cm, b = 7cm, c = 4cm
ABC with A  120 , a = 5cm, b = 3cm
A 
B 
B 
C 
C 
c=
Math 10 – Trigonometry Review Package
NAME:______________________