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Trigonometry Chapter I Unit 1.3 Right Triangle Trigonometry

 1. 

Find the exact values of the three trignometric functions of the angle mc001-1.jpg mc001-2.jpg shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)

mc001-3.jpg

mc001-4.jpg
a.
mc001-5.jpg
b.
mc001-6.jpg
c.
mc001-7.jpg
d.
mc001-8.jpg
e.
mc001-9.jpg
 

 2. 

Use the Pythagorean Theorem to determine the third side and then find the three trignometric functions of mc002-1.jpg: mc002-2.jpg, mc002-3.jpg , and mc002-4.jpg

mc002-5.jpg
a.
mc002-6.jpg
b.
mc002-7.jpg
c.
mc002-8.jpg
d.
mc002-9.jpg
e.
mc002-10.jpg
 

 3. 

Use the Pythagorean Theorem to determine the third side and then find the two trignometric functions of mc003-1.jpgmc003-2.jpg  and mc003-3.jpg

mc003-4.jpg
a.
mc003-5.jpgmc003-6.jpgmc003-7.jpg 1
b.
mc003-8.jpgmc003-9.jpgmc003-10.jpg mc003-11.jpg
c.
mc003-12.jpg1mc003-13.jpg mc003-14.jpg
d.
mc003-15.jpgmc003-16.jpgmc003-17.jpg mc003-18.jpg
e.
mc003-19.jpg1mc003-20.jpg mc003-21.jpg
 

 4. 

Select an appropriate triangle to complete the table. mc004-1.jpg

Function
mc004-2.jpg (deg)
mc004-3.jpg (rad)
Function Value
mc004-4.jpg
mc004-5.jpg
  

a.
mc004-6.jpg
b.
mc004-7.jpg
c.
mc004-8.jpg
d.
mc004-9.jpg
e.
mc004-10.jpg
 

 5. 

Use a calculator to evaluate function given below. Round your answer to four decimal places. (Be sure the calculator is in the correct angle mode.)

mc005-1.jpg
a.
mc005-2.jpg 0.9965
b.
mc005-3.jpg 0.0834
c.
mc005-4.jpg 0.0842
d.
mc005-5.jpg 0.7448
e.
mc005-6.jpg 1.1053
 

 6. 

Use a calculator to evaluate function given below. Round your answer to four decimal places. (Be sure the calculator is in the correct angle mode.)

mc006-1.jpg
a.
mc006-2.jpg –11.4737
b.
mc006-3.jpg –0.0875
c.
mc006-4.jpg 2.0038
d.
mc006-5.jpg –0.0872
e.
mc006-6.jpg –11.4301
 

 7. 

A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower mc007-1.jpg feet above the ground. The angle formed between the wire and the ground is mc007-2.jpg(see figure).

mc007-3.jpg

How long is the guy wire? Round your answer to one decimal place.
a.
The guy wire is about 70.8 feet long.
b.
The guy wire is about 141.5 feet long.
c.
The guy wire is about 47.2 feet long.
d.
The guy wire is about 283.1 feet long.
e.
The guy wire is about 424.6 feet long.
 

 8. 

Given mc008-1.jpg and mc008-2.jpg, determine the following:
mc008-3.jpg
a.
mc008-4.jpg
b.
mc008-5.jpg
c.
mc008-6.jpg
d.
undefined
e.
mc008-7.jpg
 

 9. 

If mc009-1.jpg, find the value of q in degrees mc009-2.jpg without the aid of a calculator.
a.
mc009-3.jpg
b.
mc009-4.jpg
c.
mc009-5.jpg
d.
mc009-6.jpg
e.
mc009-7.jpg
 

 10. 

Using the figure below, if mc010-1.jpg, determine the exact value of x.
mc010-2.jpg
a.
mc010-3.jpg
b.
mc010-4.jpg
c.
mc010-5.jpg
d.
mc010-6.jpg
e.
mc010-7.jpg
 



 
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