Pythagoras
Trig - Finding Angles
Trig - Finding Lengths
Angle of Depression and Elevation
True Bearings
100
Find the missing side length (2 dp):
7.94m
100
Find the missing angle:
32.74o
100
Find the missing length:
a=8.55
100
Which is the angle of depression? A or B?
A
100
Give the true bearing from O to A:
060oT
200
Find the distance between A and B (2dp):
26.38m
200
A ladder reaches 5.5 m up a wall and sits 2 m from the base of the wall. Find the angle the ladder makes with the horizontal, correct to two decimal places.
68.68o
200
The angle from the horizontal of the line of sight from the end of a tree’s shadow to the top of the tree is 55.2°. The length of the shadow is 15.5m . Find the height of the tree, correct to one decimal place.
22.3m
200
The altitude of an aeroplane is 500 metres, and the angle of elevation from the runway to the aeroplane is 15°. Find the horizontal distance from the aeroplane to the runway, to the nearest metre.
=1866.03m
=1866m
200
A ship sails for 150 𝑘𝑚 on a bearing of 068°. How far North has the ship sailed in kilometres (2dp)?
56.19km
300
Find the distance between the coordinates (-3,4) and (5,−2).
10 units
300
A rectangular park has a long side of 100 m and a short side of 80 m, with a path that goes from one corner to the other. What angle does the path make with the long side (2dp)?
38.66o
300
A ladder makes an angle of 75° with the ground. The distance of the foot of the ladder to the wall is 1.45𝑚. How long is the ladder in metres (2dp)?
5.60m
300
The height of a building is 46 m. The angle of elevation from the street corner to the top of the building is 62°. What is the direct distance from the street corner to the top of the building, to the nearest metre?
=47.57
=48m
300
A ship travels due south for 3 km , then on a true bearing of 130° for 5 km .
Find how far east the ship is from its starting point, correct to two decimal places (2dp).
3.83km
400
A 20 cm drinking straw sits diagonally in a glass of radius 3 cm and height 10 cm.
What length of straw protrudes from the glass? Round your answer to one decimal place.
9.56cm
400
Find the missing angle in this isosceles triangle (2dp):
66.42o
400
Find the area of this isosceles triangle:
h=3.60cm
A=28.81cm3
400
Two vertical buildings positioned 91 metres apart are 136 metres and 192 metres tall, respectively.
Find the angle of depression from the top of the taller building to the top of the shorter building, to the nearest degree.
=31.61o
=32o
400
A bushwalker hikes due north from a resting place for 1.5 km to a waterhole and then on a true bearing of 315° for 2 km to base camp.
Find how far west the base camp is from the waterhole, to the nearest metre.
=1.41km
=1414.21m
=1414m