Pythagoras & Trigonometry
Maths
high_school
10 questions
~20 mins
0 views0 downloads
About This Worksheet
A comprehensive Maths worksheet on Pythagoras & Trigonometry for high school students. Includes a variety of question types including multiple choice, short answer, and true/false questions.
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Pythagoras & Trigonometry
Subject: MathsGrade: high_school
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Pythagoras & Trigonometry
Maths
Instructions: Answer all questions to the best of your ability. For multiple-choice questions, circle the correct option. For short answer questions, write your answers clearly in the space provided. Indicate whether the true/false statements are correct.
A
Multiple Choice Questions
Select the correct answer for each question.
1.
In a right triangle, if one leg is 3 cm and the other leg is 4 cm, what is the length of the hypotenuse?
AA) 5 cm
BB) 6 cm
CC) 7 cm
DD) 8 cm
2.
Which of the following is the sine of a 30° angle?
AA) 1/2
BB) √3/2
CC) 1
DD) √2/2
3.
If the cosine of an angle is 0.6, what is the sine of the angle if it is a right triangle?
AA) 0.8
BB) 0.6
CC) 1
DD) 0.4
4.
In a right triangle, if the opposite side is 5 cm and the hypotenuse is 13 cm, what is the length of the adjacent side?
AA) 12 cm
BB) 10 cm
CC) 8 cm
DD) 15 cm
5.
What is the value of tan(45°)?
AA) 0
BB) 1
CC) √2
DD) Undefined
6.
A ladder is leaning against a wall, forming a right triangle with the ground. If the base of the ladder is 6 ft from the wall and the ladder is 10 ft long, how high up the wall does the ladder reach?
AA) 8 ft
BB) 7 ft
CC) 6 ft
DD) 9 ft
7.
What is the cosine of a 60° angle?
AA) 1/2
BB) 0
CC) √3/2
DD) 1
8.
If a right triangle has an angle of 30°, what is the ratio of the opposite side to the hypotenuse?
AA) 1:2
BB) 1:√3
CC) √3:2
DD) 1:√2
9.
The height of a tree casts a shadow of 10 m. If the angle of elevation from the tip of the shadow to the top of the tree is 30°, what is the height of the tree?
AA) 5 m
BB) 10 m
CC) 15 m
DD) 20 m
10.
In a triangle, if the hypotenuse is 15 cm and one leg is 9 cm, what is the other leg?
AA) 12 cm
BB) 10 cm
CC) 6 cm
DD) 5 cm
B
True/False Questions
Circle True or False for each statement.
1.
The sine of 90° is equal to 1.
2.
In any right triangle, the sum of the angles is 180°.
3.
The cosine of an angle is the ratio of the adjacent side to the hypotenuse.
C
Short Answer Questions
Answer each question in the space provided.
1.
Using Pythagoras' theorem, find the length of the hypotenuse of a right triangle with legs measuring 8 cm and 15 cm.
2.
A right triangle has an angle of 60° and the length of the hypotenuse is 10 cm. What is the length of the side opposite the 60° angle?
3.
Calculate the angle θ in a right triangle if the opposite side is 4 cm and the adjacent side is 3 cm.
4.
If a right triangle has a hypotenuse of 20 cm and one leg is 16 cm, find the length of the other leg.
5.
Find the length of the adjacent side in a right triangle where the opposite side is 7 cm and the angle is 30°.
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- Created
- 4/14/2025
- Updated
- 12/29/2025
- Type
- worksheet