Trigonometry
Angle of elevationand depression
Pythagoras Theorem
MIXED
100
24/7
100
If a person standing at the top of the building of height 50 ft is looking at her daughter standing at a distance of 30 ft away from the building, what will be the angle of depression formed?
Draw a diagram to illustrate the information. Mark the angle of depression in the diagram.
100
Calculate x (to 2 dp):
x=23.24
100
What is the length of BC? Roudn to 2dp
1.71
200
Find the unknown angle. Round your answer to 2dp.
56.25 degrees
200
Jamal is flying a kite at a local park. He lets out 70 m of his kite string, which make an angle of 72 degrees with the ground.
Draw a diagram of the situation and determine the height of the kite above the ground. (nearest meter)
67 meter
200
What is the length of bd?
12
200
A 15 feet ladder is placed 6 feet away from a wall. The distance from the ground straight up to the top of the wall is 16 feet. Will the ladder reach the top of the wall?
No. Hypotenuse ( The ladder) has to be longer than the height of the wall.
300
How long is y? round to 3s.f.
8.67
300
You're trying to use a ladder to access your room for some reason. You're 30 ft away from your window, and your window is 10 ft high. At what angle from the ground do you need to put your ladder? Round to the nearest degree.
= 18 degrees
300
From a train station, one train heads north, and another heads east. Some time later, the northbound train has traveled 12 miles, and the eastbound train has traveled 16 miles. How far apart are the two trains, measured in a straight line ?
20 miles
300
DAILY DOUBLE
Find the length of w. Round to 1d.p
w=5.2
400
DAILY DOUBLE
Find angle X. Round to 1 dp
50.0 degrees
400
It's night time, and someone is standing in your backyard. You're looking out the window on the second floor and you want to shine a flashlight on this mysterious person. Your window is 15 ft from the ground, your line of sight is 68 ft (hypotenuse of triangle). What is the angle of depression to shine the flashlight? Round to the nearest degree.
= 77 degrees
400
Abbie rides her bicycle 21 km west and then 18 km north. How far is she from her starting point? (to 2 dp)
27.55 km
400
Find x. Round to 1dp
x=2.7
500
Find the length of BD. Round to the nearest unit.
101 unit
500
Two buildings are 80 m apart. From a point midway between them, the angles of elevation to their roof tops are 64 degrees and 50 degrees.
How much taller is one building than another?
round to the nearest tenths.
34.4m
500
Find the width (x) of the rectangle.
x=5
500
Find the measure of x. Round to the nearest degree.
67 degrees