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Unit 1. 8 Applications and Models

 1. 
Find the altitude of the isosceles triangle shown in the figure. Round your answer to two decimal places.

mc001-1.jpg
mc001-2.jpg
a.
mc001-3.jpg
b.
mc001-4.jpg
c.
mc001-5.jpg
d.
mc001-6.jpg
e.
mc001-7.jpg.00
 

 2. 
The designers of a water park are creating a new slide and have sketched some preliminary drawings. The length of the ladder is mc002-1.jpg feet, and its angle of elevation is mc002-2.jpg(see figure).

mc002-3.jpg

Find the height of the slide. Round your answer to two decimal places.
a.
About mc002-4.jpg ft
b.
About mc002-5.jpg ft
c.
About mc002-6.jpg ft
d.
About mc002-7.jpg ft
e.
About mc002-8.jpg ft
 

 3. 
Find the angle mc003-1.jpg between two nonvertical lines mc003-2.jpg and mc003-3.jpg. The angle mc003-4.jpg satisfies the equation 

mc003-5.jpg

where mc003-6.jpg and mc003-7.jpg are slopes of mc003-8.jpg and mc003-9.jpg, respectively.
(Assume that mc003-10.jpg.)

mc003-11.jpg
Round your answer to one decimal place.
a.
mc003-12.jpg
b.
mc003-13.jpg
c.
mc003-14.jpg
d.
mc003-15.jpg
e.
mc003-16.jpg
 

 4. 
Determine the angle between the diagonal of a cube and its edge, as shown in the figure, where mc004-1.jpg. Round your answer to one decimal place.

mc004-2.jpg
a.
mc004-3.jpg
b.
mc004-4.jpg
c.
mc004-5.jpg
d.
mc004-6.jpg
e.
mc004-7.jpg
 

 5. 
For the simple harmonic motion described by the trigonometric function, find the maximum displacement.

mc005-1.jpg
a.
mc005-2.jpg
b.
mc005-3.jpg
c.
mc005-4.jpg
d.
mc005-5.jpg
e.
mc005-6.jpg
 

 6. 
For the simple harmonic motion described by the trigonometric function, find the value of when mc006-1.jpg.

mc006-2.jpg
Round your answer to nearest whole number.
a.
mc006-3.jpg
b.
mc006-4.jpg
c.
mc006-5.jpg
d.
mc006-6.jpg
e.
mc006-7.jpg
 

 7. 
For the simple harmonic motion described by the trigonometric function, find the frequency.

mc007-1.jpg
a.
mc007-2.jpgmc007-3.jpg
b.
mc007-4.jpg
c.
mc007-5.jpg
d.
mc007-6.jpg
e.
mc007-7.jpg
 

 8. 
Determine whether the statement is true or false.

The Leaning Tower of Pisa is not vertical, but if you know the angle of elevation mc008-1.jpg to the top of the tower when you stand mc008-2.jpg feet away from it, you can find its height mc008-3.jpg using the formula

mc008-4.jpg
a.
True
b.
False
 

 9. 
A plane is 48 miles west and 49 miles north of an airport. The pilot wants to fly directly to the airport. What bearing should the pilot take? Answer should be given in degrees and minutes.
a.
mc009-1.jpg
b.
mc009-2.jpg
c.
mc009-3.jpg
d.
mc009-4.jpg
e.
mc009-5.jpg
 

 10. 
A land developer wants to find the distance across a small lake in the middle of his proposed development. The bearing from A to B is mc010-1.jpg. The developer leaves point A and travels 53 yards perpendicular to mc010-2.jpg to point C. The bearing from C to point B is mc010-3.jpg. Determine the distance,mc010-4.jpg, across the small lake. Round distance to nearest yard.
mc010-5.jpg
a.
58 yards
b.
3 yards
c.
28 yards
d.
43 yards
e.
10 yards
 



 
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