# Objectives: Assignment: To win $1000 for Practice TRIG*STAR

Objectives:

1.

To win $1000 for yourself

2.

To win $500 for your teacher

Assignment:

•

Practice TRIG*STAR problems

TRIG*STAR is a test put together by the

National Society of

Professional

Surveyors (NSPS) to find a trig star.

(The first trig star)

The test has just 4 questions, each of which is broken up into multiple parts worth a total of

100 points.

•

The first 3 questions are always the same with different numbers. These are worth 70 points.

•

The other 30 points come from a daunting application question.

•

Okay, so this one isn’t worth any points, but it’s pretty important that you answer this

“question” correctly.

1.

On a right triangle, you’re given two sides. You have to find the other side and one of the angles.

Pythagorean

Theorem

Inverse

Trig

Important information!

cos

1

/

*b*

*c*

2

*a*

2

If you don’t want to worry about rounding your answers to the nearest hundredth, just set your calculator MODE to 2 decimal places!

•

Don’t worry, your calculator still knows all the digits of a number if you store it; it’s just that you’ll only see the two decimals.

2.

On an obtuse triangle, you’re given two angles and the included side. You have to find the third angle and all other segments.

Triangle

Sum

Trig

Store as E

Store as G

Store as H

As far as work goes with the trig equations, only write down what you need to in order to see if you need to multiply by the denominator or switch the denominator with the trig ratio.

3.

On a quadrilateral, you’re given two consecutive sides and the opposite angle. You have to find the other two sides and the diagonal.

1.

Find m<BCD:

180 – m<BAD.

Store as C.

*A*

2.

Draw in the other diagonal.

3.

Find the length of new diagonal using

Law of Cosines.

Store as A.

3.

On a quadrilateral, you’re given two consecutive sides and the opposite angle. You have to find the other two sides and the diagonal.

4.

Find <B (top part of

<CBA) using Law of

*D*

*B*

Sines. You’ll need

C, A, and side DC.

*A*

Store as B.

5.

Find <D (bottom part of <CBA):

90 – B. Store as D.

3.

On a quadrilateral, you’re given two consecutive sides and the opposite angle. You have to find the other two sides and the diagonal.

6.

Find side AD using

Law of Sines. You’ll

*D*

*B*

need D, A, and m<BAD. Store as E.

*A*

7.

Find AC using the

Pythagorean

*F*

Theorem with E

*E*

and side DC. Store as F.

3.

8.

Finally, find AB using the

*D*

*B*

Pythagorean

Theorem with F

*A*

and side BC.

*F*

*E*

Correctly answering those first three problems will guarantee you 70 points. Remember, those questions will always be the same; they’ll just change the numbers.

The other 30 points comes from the last question, which is a surveying application problem drawn up in AutoCAD. This question is the wildcard, and it’s always different.

4.

On a surveying application, you’re given various angles and lengths. You’ll have to find other sides and angles.

Don’t be afraid to add extra segments to your drawing, especially on the last application problem. Usually the segments given in the picture are misleading, and you can’t solve the problem with those alone.

Objectives:

1.

To win $1000 for yourself

2.

To win $500 for your teacher

Assignment:

•

Practice TRIG*STAR problems

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

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