Can someone check my 10 Geometry questions? I will fan and medal :)

- Unofficialllyy

Can someone check my 10 Geometry questions? I will fan and medal :)

- Stacey Warren - Expert brainly.com

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- chestercat

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- Unofficialllyy

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

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- misty1212

HI!!

- misty1212

yeah \(\frac{5}{13}\)

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- 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: \[\sin x= \frac{ 11 }{ s }\]

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- jim_thompson5910

correct on that one too

- 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

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- Unofficialllyy

@jim_thompson5910

- jim_thompson5910

yep you got it

- 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.

- jim_thompson5910

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

- 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)

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- jim_thompson5910

correct, same reason as before

- jim_thompson5910

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

- 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

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- anonymous

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

- jim_thompson5910

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

- Unofficialllyy

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

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- Unofficialllyy

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

- jim_thompson5910

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

- Unofficialllyy

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

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- jim_thompson5910

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

- Unofficialllyy

Okay one second :)

- Unofficialllyy

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

- jim_thompson5910

either that or c = a/sin(45)

- Unofficialllyy

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

- Unofficialllyy

So I will go with b/cos45.

- 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

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- Unofficialllyy

@jim_thompson5910

- Unofficialllyy

I got a 100 :)

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