Unit 4 Applications of Trigonometry (Cont'd)

Day 2

100

2 triangles are in one. The smaller triangle has an angle of elevation of 25, while the larger one has an angle of elevation of 15. The hypotenuse of the smaller triangle is 15. Find the length of the hypotenuse of the larger triangle. 

24.493

200

<A= 40, <B= 97, B=3. Find the remaining values of the triangle.

<C= 43, A= 1.943, C= 2.061

300

Find H.

657.651

400

<C= 72, <B= 61, C= 17. Find the remaining values of the triangle.

<A= 47, A=13.073, B= 15.644.

500

<B= 35, B= 4, A= 5. Find the remaining values of the triangle. 

<A1= 45.805, <A2= 134.195, <C1= 99.195, <C2= 10.805, C1= 6.884, C2= 1.307, 2 solutions.

Day 3

100

A=4, B=8, C=5. Find the remaining values of the triangle.  

<A= 24.147, <B= 125.1, <C= 30.753

200

B=7, C=4, <A=30. Find the remaining values of the triangle. 

A= 4.062, <B= 120.515, <C= 29.485

300

A=5, B=10, C=8. Find the remaining values of the triangle.

<B= 97.903, <A=29.686, <C= 52.411.

400

A=1, B=2, C=3.

No Solution

500

he square ABCD and has a middle point E. The square has side lengths of 70. Diagonal AC is 60.5 and bisects the angles at <45. Find X, which is line BE.

50.706.

Day 4

100

Find the area of a triangle with <A-=70 degrees, b= 40'', c=51'' 

958.486 in²

200

Find the area of a triangle with sides 56 yd, 76 yd, 0.046 miles

2056.495 yd²

300

Find the area of triangle DEF if d= 12m, D= 62 degrees, and E= 70 degrees

56.945m²

400

Find the area of a triangle with sides 120'', 132'', 154''

7656.218in²

500

Find the area of a triangle with <A = 69 degrees, b= 45'' and c= 61'' 

1281.339 in²

Day 6

100

Find a unit vector in the same direction as v= 3i- 5j 

<.5144, -.8575>

200

If v= a₁i + b₁j and w= a₂i + b₂j are two vectors, the dot product v.w is defined as... 

a₁a₂ + b₁b₂

300

Find the angle (theta) between u= 2i- j and v= 4i+ 3j

63.465 degrees 

400

Given IIvII= 8 and <= 45 degrees write the vector v in terms of ai + bj 

5.657i + 5.657j

500

Determine whether the vectors v= 4i- j and w= 2i+ 8j are orthogonal 

Yes, orthogonal 

Random Trivia

100

What is Ms. Bozzi's middle name 

Claudia 

200

What is Ms. Bozzi's son's name 

Tony

300

Who is Ms. Bozzi's favorite student 

Tucker 

400

What is Ms. Bozzi's favorite beverage?

Lemonade 

500

How old was Ms. Bozzi when she moved to the USA from Australia? 

18 years old.