Law of Sines Practice

Which triangle can be solved by the law of sines?

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• 
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Find BC to the nearest whole number.

• 38 yd

• 23 yd

• 18 yd

• 41 yd

Solve for AB. (Hint: consider what you need first.)

• 18 yd

• 21 yd

• 17 yd

• 28 yd

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find c in terms of sine and the side lengths.

• $\frac{13\cdot\sin\left(24\right)}{\sin\left(22\right)}$

• $\frac{13\cdot\sin\left(34\right)}{\sin\left(22\right)}$

• $\frac{\sin\left(34\right)}{13\cdot\sin\left(22\right)}$

• $\frac{\sin\left(24\right)}{13\cdot\sin\left(22\right)}$

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find

 $m\angle B.$  

•  $18\degree$  

•  $36\degree$  

•  $41\degree$  

•  $39\degree$  

 $Find\ m\angle C.\$  

•  $26\degree$  

•  $16\degree$  

•  $34\degree$  

•  $18\degree$  

 $Find\ m\angle B\$  in term of sin, angles, and sides.

•  $\sin^{-1}\left(\frac{15\sin\left(110\right)}{36}\right)$  

•  $\sin^{-1}\left(\frac{36\sin\left(110\right)}{15}\right)$  

•  $\sin^{-1}\left(\frac{36}{15\sin\left(110\right)}\right)$  

•  $\sin^{-1}\left(\frac{15}{36\sin\left(110\right)}\right)$  

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Solve for each missing part of the

 $\Delta ABC$  . Round to the nearest whole # in each. 
 $m\angle A=$  ____  $\degree$  , c = _____km , b = _______km. 

(answer in order and separate with commas)

A pole tilts towards the sun at an 8 $\degree$ from vertical. It casts a 22 ft long shadowl  The angle of elevation from the endpoint of its shadow is  $43\degree$  to the top of the pole. Find the height of the pole to the nearest foot. 

• 24 ft

• 23 ft

• 39 ft

• 38 ft

The original height of the leaning tower of Pisa is 184.5 ft. At 140 ft away from the base of the tower, the angle of elevation is $59\degree.$  The tower is no longer at a right angle with the ground. What the measure of this angle now?

•  $56\degree$  

•  $65\degree$  

•  $41\degree$  

•  $80\degree$