The Primary Trig Ratios – Practice with SOH CAH TOA

1. In each triangle, name the side:

2. Calculate the Sin A and Sin B in each triangle.

3. Calculate.

a. Sin 42b. Cos 68c. Tan 12

4. Calculate the value of x.

a. b.

5. Calculate.

a. Sin0.612b. Cos 0.825c. Cosd. Tan

6. Calculate E to the nearest degree.

a. Sin E = 0.387 b. Sin E = 0. 900 c. Cos E = d. Tan E =

7. Calculate E.

8. A guy wire is 13.5 m long. It supports a vertical power pole. The wire is fastened to the ground 9.5 m from the base of an 8.7 m tall pole. Calculate the measure of the guy wire and the ground.
9. A 5.0 m ladder is leaning 3.7 m up a wall. What is the angle the ladder makes with the ground?

10. A kite has a string 100 m long anchored to the ground. The string makes and angle with the ground of 68. What is the horizontal distance of the kite from the anchor?

11. A ladder is leaned 10 m up a wall with its base 6 m from the wall. What angle does the ladder make with the ground?

12.An archer shoots and gets a bulls-eye on the target. From the archer’s eye level the angle of depression to the bulls-eye is 5°. The arrow is in the target 50 cm below the archer’s eye level. Calculate the distance the arrow flew to hit the target (the dotted line). 5°

C
B
50 cm
A
5°
C
B
50 cm
A

13.Two islands A and B are 3 km apart. A third island C is located due south of A and due west of B. From island B the angle between islands A and C is 33°. Calculate how far island C is from island A and from island B.

14.The foot (bottom) of a ladder is placed 1.5 m from a wall. The ladder makes a 70° angle with the level...

...Teaching trigonometry using Empirical Modelling
0303417
Abstract
The trigonometric functions sin(x), cos(x) and tan(x) are relationships that exist between the angles
and length of sides in a right-angled triangle. In Empirical Modelling terms, the angles in a triangle
and the length of the sides are observables, and the functions that connect them are the definitions.
These well-defined geometric relationships can be useful when teaching GCSE-level students about
the...

...Right Triangle TrigonometryTrigonometry is a branch of mathematics involving the study of triangles, and has applications in fields such as engineering, surveying, navigation, optics, and electronics. Also the ability to use and manipulate trigonometric functions is necessary in other branches of mathematics, including calculus, vectors and complex numbers. Right-angled Triangles In a right-angled triangle the three sides are given special names. The side...

...Trigonometry (from Greek trigōnon "triangle" + metron "measure"[1]) is a branch of mathematics that studies triangles and the relationships between the lengths of their sides and the angles between those sides. Trigonometry defines the trigonometric functions, which describe those relationships and have applicability to cyclical phenomena, such as waves. The field evolved during the third century BC as a branch of geometry used extensively for astronomical...

...Trigonometry (from Greek trigōnon "triangle" + metron"measure"[1]) is a branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides. Trigonometry defines the trigonometric functions, which describe those relationships and have applicability to cyclical phenomena, such as waves. The field evolved during the third century BC as a branch of geometry used extensively for astronomical studies.[2] It is also...

...Trigonometry
| Introduction to trigonometryAs you see, the word itself refers to three angles - a reference to triangles. Trigonometry is primarily a branch of mathematics that deals with triangles, mostly right triangles. In particular the ratios and relationships between the triangle's sides and angles. It has two main ways of being used: 1. In geometryIn its geometry application, it is mainly used to solve triangles, usually right triangles. That is,...

...curriculum includes Swedish, English and Maths.
3. The teacher pointed out that Sean is very inteligent for his age
4. After finishing this book, students may ask to ”Read and Report”.
5. Kiera held the baby lovingly in her arms.
6. I’m afraid this plant won’t grow well in sandy soil .
7. Democracy is based on the idea that all people are equal .
8. Helen works to the best of her khowledge .
9. The doctor was accused of unprofessional behaviour...

...served when the relationships between the teacher and
parents are reciprocal and supportive.
6
BEd132: Positive Child Guidance
20120883 Juhi Mehta
Reference list:
Greenman, J. (2005, May). Places for childhood in the 21st century: A
conceptual framework. Beyond the Journal. Young Children on the
Web. Retrieved 20 December, 2006, from
http://www.journal.naeyc.org/btj/200505/01Greenman.pdf
Kaiser, B., & Rasminsky, J.S. (2003). Challenging behavior in young...

...odyArtworks are a reflection of the culture in which they are made. Throughout history, artists have manifestly depicted the society that surrounds them and as time has progressed, artists have continually alluded to the values and restrictions that society has placed. Manet’s Olympia, Judy Chicago’s Dinner Party and Orlan’s Orlan Gives Birth to her Loved Self, all represent various ideas and interest through the development of a visual language. As society has evolved, the depiction of the...

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