Using the figure below,if ? = 33° and y = 9,determine the exact value of x.
A) $x = \frac { 3 } { \sin 11 ^ { \circ } }$
B)? $x = \frac { 9 } { \tan 33 ^ { \circ } }$
C)? $x = \frac { 11 } { \tan 3 ^ { \circ } }$
D)? $x = \frac { 9 } { \cot 33 ^ { \circ } }$
E)? $x = \frac { 33 } { \csc 9 ^ { \circ } }$

Question

Using the figure below,if ? = 33° and y = 9,determine the exact value of x. 
A) $x = \frac { 3 } { \sin 11 ^ { \circ } }$ 
B)? $x = \frac { 9 } { \tan 33 ^ { \circ } }$ 
C)? $x = \frac { 11 } { \tan 3 ^ { \circ } }$ 
D)? $x = \frac { 9 } { \cot 33 ^ { \circ } }$ 
E)? $x = \frac { 33 } { \csc 9 ^ { \circ } }$

Quizplus · Accepted Answer

Using trigonometry, we can set up the following equation based on the given angle and side:
tan(33°) = x/9
Multiplying both sides by 9, we get:
x = 9tan(33°)
Using a calculator in degree mode, we get:
x ≈ 6.932
Rounding to the nearest hundredth gives us the answer of 6.93, which corresponds to choice B.

Using the Figure Below,if ? = 33° and Y = x=3sin⁡11∘x = \frac { 3 } { \sin 11 ^ { \circ } }x=sin11∘3​

Using the Figure Below,if ? = 33° and Y = $x = \frac { 3 } { \sin 11 ^ { \circ } }$