Soh Cah Toa Find the Missing Sides

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 25 feet

• 45 feet 

• 110 feet 

• 135 feet 

What is the correct ratio?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

If you are given the two sides that are not the hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• cotangent

If you are given the opposite side and hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• cotangent

Find the value of x. Leave your answer correct to 3 significant figures.

What is the length of side x?

• 6.57 cm

• 7 cm

• 7.44 cm

• 26.33 cm

Find the value of y. Leave your answer correct to 3 significant figures.

Find the value of x. Leave your answer correct to 3 significant figures.

Find the value of x. Leave your answer correct to 3 significant figures.

Find the value of y. Leave your answer correct to 3 significant figures.