Question

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

Answer 1

1. Look at the triangle:
What is the value of sin x°?

My answer: 5 divided by 13

Answer 2

HI!!

Answer 3

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

Answer 4

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

Answer 5

correct on that one too

Answer 6

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

Answer 7

@jim_thompson5910

Answer 8

yep you got it

Answer 9

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.

Answer 10

yep

sin(x) = cos(90 - x)

where 0 <= x <= 90

Answer 11

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)

Answer 12

correct, same reason as before

Answer 13

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

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

The picture shows a barn door:
What is the length of the support AB?

My answer: 9/sin60

Answer 18

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

Answer 19

yeah then you use a calculator to compute 9/(sin(60))

make sure you're in degree mode

Answer 20

The picture shows a triangular island:

Which expression shows the value of c?

I didn't get this one.

Answer 21

hint:

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

Answer 22

Okay one second :)

Answer 23

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

Answer 24

either that or c = a/sin(45)

Answer 25

My choices are

b/tan45

b/cos45

a cos 45

a tan 45

Answer 26

So I will go with b/cos45.

Answer 27

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

Answer 28

@jim_thompson5910

Answer 29

I got a 100 :)