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Mathematics 15 Online
OpenStudy (anonymous):

can someone check my answer?

OpenStudy (anonymous):

The figure shows a right triangle. What is r ÷ q equal to? i got \[\sin x degree \]

OpenStudy (anonymous):

@hartnn

hartnn (hartnn):

no, sin = opposite side / hypotenuse cos = adjacent side / hypotenuse

OpenStudy (anonymous):

i know so doesn't that make is sin x degree?

hartnn (hartnn):

side opposite to x is p so, sin x is actually p/q

OpenStudy (anonymous):

sin y degree?

hartnn (hartnn):

thats correct!

OpenStudy (anonymous):

oh ok i see lol i have more if it's ok ?

OpenStudy (anonymous):

about 15 question like i got the answer but just need to make sure they are correct like this one i though it was correct but ended up being incorrect

OpenStudy (anonymous):

A rocket travels 50 km vertically upward at a 90° angle from point A to point B. It then moves a distance of 50 km along the line segment BC, as shown below. What is the height of the rocket, at point C, from the ground? i got 75Km

hartnn (hartnn):

75 is correct

OpenStudy (anonymous):

yay

OpenStudy (sidsiddhartha):

75 seems correct h+hsin30

OpenStudy (anonymous):

Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) i got 53.13 but someone else said it was 28.07 sp i'm not sure

hartnn (hartnn):

its not 53.13 how did u get that ?

hartnn (hartnn):

arctan(8/15)

OpenStudy (anonymous):

idk i though i used the same thing your doing and got 53.13 i guess i must have type it in wrong

hartnn (hartnn):

arctan(8/15) = 28.07

OpenStudy (anonymous):

oh nvm yes okk i defenatly typed it in wrong

OpenStudy (anonymous):

The picture below shows a right-triangle-shaped charging stand for a gaming system. Which expression shows the length, BC, of the base of the stand? 7 cot 55 degrees?

hartnn (hartnn):

thats correct

OpenStudy (anonymous):

yay

OpenStudy (anonymous):

The figure shows a right triangle AEB on a rectangle CBED. What is the length of side AD? i got 34.64 cm?

hartnn (hartnn):

34.64 is correct :)

OpenStudy (anonymous):

yay thank you

OpenStudy (anonymous):

Look at the figure. If sin y° = 9 divided by c. and tan y° = 9 divided by d. ,what is the value of cos y°? this one i'm still working on it

hartnn (hartnn):

tan y = sin y/ cos y

OpenStudy (anonymous):

what do you mean

OpenStudy (anonymous):

i'm sorry this one really confused me so much

hartnn (hartnn):

thats the basic trigonometric formula did you see if for the first time ?

hartnn (hartnn):

tan y = sin y / cos y so, cos y = sin y/ tan y = (9/c) / (9/d) = ...

OpenStudy (anonymous):

i got cos y = (d/c)

hartnn (hartnn):

correct :)

OpenStudy (anonymous):

yay!

OpenStudy (anonymous):

If the sin 30° = one over two, then which statement is true? cos 150° = 0 because the cosine and sine are supplements cos 60° = one over two because the cosine and sine are complements <------- my answer cos 150° = 1 because the cosine and sine are supplements cos 60° = 0 because the cosine and sine are complements

hartnn (hartnn):

sin x = cos (90-x) you're correct!

OpenStudy (anonymous):

yess btw i just want to take a moment and thank you so much because you really don't have to help me but you are so thank you :D

hartnn (hartnn):

happy to help :) most welcome ^_^

OpenStudy (anonymous):

The sail of a boat is in the shape of a right triangle, as shown below. Which expression shows the height, in meters, of the sail? i got 8 sec 35 degrees

hartnn (hartnn):

correct :)

OpenStudy (anonymous):

yesss!

OpenStudy (anonymous):

Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground and the maximum height to which it should rise is 1.5 meters, as shown below. What is the maximum length of the seesaw? i got 3 meters but then again i'm not really sure

hartnn (hartnn):

3 is correct! good :)

OpenStudy (anonymous):

omg i'm so surprized i got that one correct i though it was wrong lol

OpenStudy (anonymous):

btw if i may as are you a boy or girl

OpenStudy (anonymous):

The picture shows a portion of a river dam.

OpenStudy (anonymous):

What is the height, in meters, of the river dam?

OpenStudy (anonymous):

this one idk how to do it

hartnn (hartnn):

40 degree angle, you need adjacent side and you have hypotenuse which ratio deals with adjacent side and hypotenuse ?

hartnn (hartnn):

bdw, i am a boy , and a student, just like you :)

OpenStudy (anonymous):

oh ok cool

OpenStudy (anonymous):

and cosine?

hartnn (hartnn):

yes, cos (or sec) so whats cos 40 = ... ?

OpenStudy (anonymous):

.07?

OpenStudy (anonymous):

i mean .766

hartnn (hartnn):

i mean cos 40 = adjacent side / hypotenuse = ...? / ....?

OpenStudy (anonymous):

5/10?

OpenStudy (anonymous):

oh oops i mean 220 / cos 40 ?

hartnn (hartnn):

cos 40 = height/ 220

hartnn (hartnn):

height = 220 cos 40

OpenStudy (anonymous):

oh i though it would be over

OpenStudy (anonymous):

Look at the figure. Based on the figure, which equation is true? cos x° = tan y° tan x° = sin y° <---- my answer sin x° = cos y° sin x° = tan y°

hartnn (hartnn):

sin x = ....? cos y = ...?

OpenStudy (anonymous):

sin(angle) = opposite / hypotenuse cos(angle) = adjacent / hypotenuse

hartnn (hartnn):

so, from the diagram sin x = ... ?

hartnn (hartnn):

opposite side of x is?

OpenStudy (anonymous):

5?

OpenStudy (anonymous):

5/10

hartnn (hartnn):

yes cos y = ... ?

OpenStudy (anonymous):

10/20?

hartnn (hartnn):

5/10 and 10/20 aren't they equal ?

OpenStudy (anonymous):

yes they are

OpenStudy (anonymous):

i know that sin and cos are always complementary

OpenStudy (anonymous):

so its C lol

hartnn (hartnn):

yes! :)

OpenStudy (anonymous):

Which pair of angles has congruent values for the sin x° and the cos y°? 20°; 20° 20°; 40° 20°; 50° 20°; 70° <--- my answer

hartnn (hartnn):

correct

hartnn (hartnn):

that was easy

OpenStudy (anonymous):

lol yess

OpenStudy (anonymous):

k now i only got 3 more

OpenStudy (anonymous):

Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)

hartnn (hartnn):

whats your attempt ?

OpenStudy (anonymous):

my my answer choice?

OpenStudy (anonymous):

i was thinking 13/8?

OpenStudy (anonymous):

i mean cos y 8/13

hartnn (hartnn):

cos y = 8/13 is correct y = \(\cos^{-1}(8/13)\) use calculator or google :)

OpenStudy (anonymous):

.332?

OpenStudy (anonymous):

or 52 02

OpenStudy (anonymous):

52.02

OpenStudy (anonymous):

lol that was my first choice but then i was like no i don't think the number would be that high

hartnn (hartnn):

its angle in degrees, they're usually that high....or higher

OpenStudy (anonymous):

oh ok lol

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