Applications of Sine

A surveyor at point S locates a rock formation 530 meters away at point P. The surveyor turns clockwise 102 degrees and locates ar ock formation 410 meters away at point R. To the nearest tenth of a meter, what is the distance between the rock formations?

x=___________

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Now we know the two possible values for angle A are 68.84 degrees or 111.16 degrees. With that in mind, what are the two possibilities for the measure of angle B?

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Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49^o and Stake B measures an angle of elevation of 58^o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

• 152.7 feet

• 166.3 feet

• 157.3 feet

• 131.7 feet

A ladder is leaning against a wall. The building is 95 feet tall. The angle of elevation between the ground and ladder is 56^o. How long is the ladder?

• 114.6 feet

• 78.6 feet

• 36.1 feet

• 124.1 feet

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them.  The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63.  How far away is the bird from Amanda?

• 25.23

• 23.19

• 22.15

• 20.85

To approximate the length of a marsh, a surveyor walks 425 meters from point A to point B. Then the surveyor turns 65º and walks 300 meters to point C. Approximate the length AC of the marsh.

• 250

• 615

• :)

• Not me

A post is supported by two wires (one on each side going in opposite directions) creating an angle of 80° between the wires. The ends of the wires are 12m apart on the ground with one wire forming an angle of 40° with the ground. Find the lengths of the longest wire. Round your answer to the nearest hundredth.

Two ships are sailing from Halifax. The Nina is sailing due east and the Pinta is sailing 43° south of east. After an hour, the Nina has travelled 115km and the Pinta has travelled 98km. How far apart are the two ships? Round your answer to the nearest hundredth.

3 friends are camping in the woods, Bert, Ernie and Elmo. They each have their own tent and the tents are set up in a Triangle. Bert and Ernie are 10m apart. The angle formed at Bert is 30°. The angle formed at Elmo is 105°. How far apart are Ernie and Elmo? Round your answer to the nearest tenth of a meter.