Question

From the top of the tower 63.2 feet high, the angle of depression of the two objects situated in
the same horizontal line with the base of the building, and on the same side of the tower are 31°
16’ and 48° 28’ respectively. Find the distance between the two objects.

Answer 1

Hello @marcelotrishia

Answer 2

Hello

Answer 3

Let's first get a drawing going :)

Answer 4

Okay. Thank you

Answer 5

Does this look good to you?

Answer 6

The first smaller angle is 31 degrees 16 minutes

The other angle includes both and is 48 degrees and 28 seconds

Answer 7

Ah, you're using the app :/

Answer 8

If you can log on www.questioncove.com then you should be able to view it

but if not, are you able to see this image I'm attaching

Answer 9

Thank you very much

Answer 10

Our angles are
31 degrees and 16 minutes and
48 degrees and 28 minutes

To convert it to only degrees, we have to
divide the minutes number by 60 (since there are 60 minutes in 1 degree.

So for example, if we had 25 degrees and 15 minutes
\(\dfrac{\text{15 minutes}}{1} \times \dfrac{\text{1 degree}}{\text{60 minutes}}\)

and we get that 15' or 15 minutes is 0.25 degrees

so 25 degrees and 15 minutes is 15.25 degrees or 15.25°

Answer 11

How its happen? Please can you give me solution

Answer 12

Thank you

Answer 13

I can't give you the solution but I can help you get to the correct answer :)

Answer 14

☹️

Answer 15

So for the first step, can you convert
31 degrees and 16 minutes and
48 degrees and 28 minutes

into just degrees?
Just divide the minutes by 60 and that will be the decimal that comes after the degrees :)

Answer 16

Hmm I don't get it :(

Answer 17

What is 16 / 60 =

Answer 18

4/15

Answer 19

0.2666

Answer 20

So
31° 16' is the same as 31.0267°

Similarly, what is 28 / 60 =

Answer 21

:( I don't understand, sorry. Thank you.

Answer 22

28 / 60 = ??

Answer 23

0.433

Answer 24

:(

Answer 25

Good so

48° 28’ = 48.433°

Answer 26

Now we have our two angles as just degrees

and not
degrees° minutes'

Answer 27

How? :(

Answer 28

Now let's look at the first triangle

we have angle of 31.267 and an adjacent side of 63.2 feet

Answer 29

Do you know the trigonometric functions?

Which one will we use?

sin? cos? tan?

Answer 30

?

Answer 31

Do you know how to find sin or cos of an angle?

Answer 32

Thank you, sorry I didn't get it

Answer 33

Bye

Answer 34

First we have to find the length of the green line and then the blue line

and then we can find the answer to your question: what is the distance between the two objects
that is going to be our x
and we can find it by
length of blue - length of green

Answer 35

sin = opposite side / hypotenuse

cos = adjacent side / hypotenuse

tan = opposite side/ adjacent side

We know the ADJACENT side and we're trying to calculate the OPPOSITE side

so do we use sin? or cos? or tan?