Question

Need Some quick trigonometry help

40 points, 4 questions!

1: Find the value of y, cos 64 degrees=y/8
A:7.2
B:3.5
C:8.0
D:16.4

7: A child lies on the ground and looks up at the top of a 17-ft tree nearby. The child is 14 ft away from the tree. What is the angle of elevation from the child to the top of the tree? Round to the nearest whole degree.
A:51*
B:39*
C:35*
D:55*

8: A grid shows the positions of a subway stop and your house. The subway stop is located at (7, −7) and your house is located at (−3, 3). What is the distance, to the nearest unit, between your house and the subway stop?
A:14
B:11
C:19
D:24

9: A grid shows the positions of a subway stop and your house. The subway stop is located at (7, −6) and your house is located at (−9, 5). What is the distance, to the nearest unit, between your house and the subway stop?
A:21
B:29
C:24
D:19

Answer 1

1) B cos (64) times 8
7)A. Tan ^-1= 17/14
8)A sq rt of 200
9)D. Sq rt of 377

Answer 2

Explanation:

Alright, lets get started.

1.

`cos 64=(y)/(8)`

`y=8cos64 = 8*0.4383711=3.50`

S,the answer is 3.5 (B) : Answer

7.

Please refer the diagram I have attached.

Using SOH CAH TOA

`tan (angle)=(opposite)/(adjacent)`

`tan(angle)=(17)/(14)`

`angle=tan^(-1)((17)/(14))`

angle = 50.5

Hence angle is whole degree is 51. (A): Answer

8.

distance between two point is :

`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}`

`√((-3-7)^2+(3+7)^2)=√(100+100)`

`√(200)`

14.14

So, the answer is 14 (A) : Answer

9.

Distance between two points is :

`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}`

`√((-9-7)^2+(5+6)^2)=√(256+121)`

`√(377)`

19.4

So the answer is 19 : Answer (D)

Hope it will help :)