Using the figure below,if ? = 26° and y = 6,determine the exact value of x.
A)? $x = \frac { 6 } { \cot 26 ^ { \circ } }$
B)? $x = \frac { 26 } { \csc 6 ^ { \circ } }$
C) $x = \frac { 6 } { \tan 26 ^ { \circ } }$
D)? $x = \frac { 3 } { \sin 13 ^ { \circ } }$
E)? $x = \frac { 13 } { \tan 3 ^ { \circ } }$

Question

Using the figure below,if ? = 26° and y = 6,determine the exact value of x. 
A)? $x = \frac { 6 } { \cot 26 ^ { \circ } }$ 
B)? $x = \frac { 26 } { \csc 6 ^ { \circ } }$ 
C) $x = \frac { 6 } { \tan 26 ^ { \circ } }$ 
D)? $x = \frac { 3 } { \sin 13 ^ { \circ } }$ 
E)? $x = \frac { 13 } { \tan 3 ^ { \circ } }$

Quizplus · Accepted Answer

Using the given information, we can use trigonometry to find x. We can use the equation:

sin θ = opposite/hypotenuse

where θ is the given angle and y is the opposite side.

sin 26° = 6/x

x = 6/sin 26°

x ≈ 13.41

The only answer choice that is closest to this value is C.

Using the Figure Below,if ? = 26° and Y = x=6cot⁡26∘x = \frac { 6 } { \cot 26 ^ { \circ } }x=cot26∘6​

Using the Figure Below,if ? = 26° and Y = $x = \frac { 6 } { \cot 26 ^ { \circ } }$