Select the angle that correctly completes the law of cosines for this triangle

Option 'B'

Step-by-step explanation:

The law of cosines states that given a triangle with sides a, b, c, then:

where 'y' is the opposite angle to the side 'c'.

In this case, given that the equation is: we can clearly see that c=15, and the opposite angle to 'c' is 62 degrees.

The correct option is Option 'B'

ANSWER

B. 62°

EXPLANATION

The cosine rule is given by:

where A is the angle that is direct opposite to the side length which is 'a' units.

The given relation is:

The missing angle should be the angle directly opposite to the side length measuring 15 units.

From the diagram the missing angle is 62°

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

/

step-by-step explanation: