## Unofficialllyy one year ago Can someone check my 10 Geometry questions? I will fan and medal :)

1. Unofficialllyy

1. Look at the triangle: What is the value of sin x°? My answer: 5 divided by 13

2. misty1212

HI!!

3. misty1212

yeah $$\frac{5}{13}$$

4. Unofficialllyy

2. Look at the figure: If tan x° = 11 divided by r and cos x° = r divided by s, what is the value of sin x°? My answer: $\sin x= \frac{ 11 }{ s }$

5. jim_thompson5910

correct on that one too

6. Unofficialllyy

3. Max observes the zoo and the library from a helicopter flying at a height of 200 times square root of 3 feet above the ground, as shown below What is the distance between the zoo and the library? My answer: 400 feet

7. Unofficialllyy

@jim_thompson5910

8. jim_thompson5910

yep you got it

9. Unofficialllyy

4. If the cos 30° = square root 3 over 2, then the sin 60° = _____. My answer: square root 3 over 2, because the angles are complementary.

10. jim_thompson5910

yep sin(x) = cos(90 - x) where 0 <= x <= 90

11. Unofficialllyy

5. Use the image below to answer the following question. What relationship do the ratios of sin x° and cos y° share? My answer: The ratios are both identical (6/10 and 6/10)

12. jim_thompson5910

correct, same reason as before

13. jim_thompson5910

well you can reduce 6/10 to get 3/5

14. Unofficialllyy

Two birds sit at the top of two different trees. The distance between the first bird and a bird-watcher on the ground is 14.1 feet. The distance between the bird-watcher and the second bird is 27.9 feet. What is the angle measure, or angle of depression, between this bird and the bird-watcher? My answer: 30.4

15. anonymous

soh cah toa - sin soa - opposite / adajenct enjoy:)

16. jim_thompson5910

30.356338108109 degrees which rounds to 30.4 degrees (assuming you are going for the nearest tenth). So you got it

17. Unofficialllyy

The picture shows a barn door: What is the length of the support AB? My answer: 9/sin60

18. Unofficialllyy

@jim_thompson5910 I only have a few more to be checked :)

19. jim_thompson5910

yeah then you use a calculator to compute 9/(sin(60)) make sure you're in degree mode

20. Unofficialllyy

The picture shows a triangular island: Which expression shows the value of c? I didn't get this one.

21. jim_thompson5910

hint: tan(45) = a/b sin(45) = a/c cos(45) = b/c

22. Unofficialllyy

Okay one second :)

23. Unofficialllyy

I'm not positive, but I think it's b/cos45

24. jim_thompson5910

either that or c = a/sin(45)

25. Unofficialllyy

My choices are b/tan45 b/cos45 a cos 45 a tan 45

26. Unofficialllyy

So I will go with b/cos45.

27. Unofficialllyy

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole, as shown below: Angle ADC measures 60° and angle BDC measures 30°. What is the distance between the points A and B on the flagpole? My answer: 10 feet

28. Unofficialllyy

@jim_thompson5910

29. Unofficialllyy

I got a 100 :)