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Mathematics 39 Online
OpenStudy (anonymous):

someone please help me! medal & fan

OpenStudy (anonymous):

OpenStudy (misty1212):

HI!!

OpenStudy (misty1212):

do you know what the tangent of x is ?

OpenStudy (mathstudent55):

|dw:1422817943912:dw|

OpenStudy (mathstudent55):

In the triangle, the hypotenuse has no length given. The legs are 15 and 8 units long. For angle x, which leg is the adjacent leg and which leg is the opposite leg?

OpenStudy (anonymous):

no, Im completely lost on the subject

OpenStudy (misty1212):

hmmm

OpenStudy (jhannybean):

have you learnt the rule for right triangles?

OpenStudy (misty1212):

my friend iz you need to know all the trig ratios \[\tan(x)=\frac{opposite}{adjacent}\] \[\sin(x)=\frac{opposite}{hypotenuse}\] \[\cos(x)=\frac{adjacent}{hypotenuse}\]

OpenStudy (mathstudent55):

Any triangle has 3 sides. A right triangle, obviously, also has 3 sides. In a right triangle, the sides have special names. The longest side, opposite the right angle, is called the hypotenuse. The two sides that form the right angle are called legs.

OpenStudy (mathstudent55):

Do you follow so far?

OpenStudy (misty1212):

commit that to memory or tattoo it on your left arm perhaps

OpenStudy (anonymous):

we will use tan, right?

OpenStudy (mathstudent55):

When we deal with trig functions, we need to distinguish between the two legs, so we give each leg a name based on the angle we are interested in.

OpenStudy (misty1212):

yes you will

OpenStudy (mathstudent55):

|dw:1422818265414:dw|

OpenStudy (mathstudent55):

Now let's say we are interested in the acute angle at the left marked A. |dw:1422818333351:dw|

OpenStudy (mathstudent55):

For angle A, the bottom leg is close by. It is next to angle A. It is called the "adjacent" leg. For angle A, the right leg is far away. It is opposite angle A. It is called the "opposite" leg. |dw:1422818449476:dw|

OpenStudy (mathstudent55):

The tangent function is the ratio of the lengths of the opposite leg to the adjacent leg.

OpenStudy (mathstudent55):

|dw:1422818509391:dw|

OpenStudy (mathstudent55):

Now look at your problem. The triangle is turned in a different direction, but the same concept applies.

OpenStudy (mathstudent55):

|dw:1422818609036:dw|

OpenStudy (mathstudent55):

|dw:1422818633476:dw|

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