Angles - JSS2 Mathematics Past Questions and Answers - page 1
What is the sum of the interior angles of a hexagon?
360°
540°
720°
1080°
Which of the following is true for the sum of the exterior angles of any polygon?
It depends on the number of sides.
It is always 360°.
It is equal to the sum of the interior angles
It is always less than 180°.
If you are looking up at the top of a building from the ground, the angle formed between your line of sight and the horizontal line is called:
Angle of depression
Angle of reflection
Angle of elevation
Angle of refraction
The sum of the interior angles of a triangle is:
90°
180°
360°
540°
If you are at the top of a lighthouse and looking down at a boat, the angle formed between your line of sight and the horizontal line is called:
Angle of depression
Angle of elevation
Angle of refraction
Angle of incidence
Calculate the sum of the interior angles of a pentagon.
The formula to find the sum of the interior angles of an
𝑛-sided polygon is:
Sum of interior angles= (𝑛−2)×180∘
For a pentagon (𝑛=5):
Sum of interior angles
=(5−2)×180∘
=3×180∘
=540∘
What is the sum of the exterior angles of a hexagon?
The sum of the exterior angles of any polygon is always 360∘.
You are standing 50 meters away from a building and looking up at its top. The height of the building is 30 meters. What is the angle of elevation to the top of the building?
Using the tangent function:
tan(𝜃)= distance from the building/height of the building
tan(𝜃)=30/50=0.6
To find the angle:𝜃=tan−1(0.6)≈30.96∘
Calculate the sum of the interior angles of a nonagon (9-sided polygon).
Using the formula:
Sum of interior angles =(𝑛−2)×180∘
For a nonagon (𝑛=9:
Sum of interior angles
=(9−2)×180∘
=7×180∘
=1260∘
You are at the top of a 40-meter-high cliff and looking down at a boat that is 100 meters away from the base of the cliff. What is the angle of depression to the boat?
Using the tangent function: tan(𝜃)=height from the object/distance to the object
tan (𝜃)=40/100
=0.4
To find the angle: 𝜃=tan−1(0.4)
≈21.80∘