Precalculus Unit 2(Day 12)

Knight’s Charge 9/9/15

1. Find the value of θ. 2. Find the value of h.

3. Find the value of z. 4. Find the value of x.

Knight’s Charge 9/9/15

5. Factor: 6. Factor:

7. Divide:

4.1Right Triangle Trigonometry 5Precalculus

Application of Trig

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#1. Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite measures 70, how high is the kite above Brian’s head?

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#2. From an airplane at an altitude of 1200 m, the angle of depression to a rock on the ground measures 28. Find the distance from the plane to the rock.

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# 3. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of the pole measures 53. How tall is the flagpole?

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# 4. From a plane flying due east at 265 m above sea level, the angles of depression of two ships sailing due east measure 35 and 25 . How far apart are the ships?

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# 5. Tom and Sam are on the opposite sides of a tower of 160 meters height. They measure the angle of elevation of the top of the tower as 40° and 55° respectively. Find the distance between Tom and Sam.

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# 6. A man on the deck of a ship is 13 ft above water level. He observes that the angle of elevation of the top of a cliff is 40° and the angle of depression of the base is20°. Find the distance of the cliff from the ship and the height of the cliff if the base of the cliff is at sea level.

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# 7. The angle of elevation of the top of a cliff from the point Q on the ground is 30°. On moving a distance of 20 m towards the foot of the cliff the angle of elevation increases to xo. If the height of the cliff is 17.3 m, then find xo.

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# 8. Steven is looking up at an angle of elevation of 20 to see the top of a tree. He moves 100 feet closer to the tree and has to look up at an angle of elevation of 50. How tall is the tree?

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# 9. A ranger's tower is located 50m from a tall tree. The angle of elevation to the top of the tree is 10°from the top of the tower, and the angle of depression to the base of the tree is 20°. How tall is the tree?

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# 10. You are standing on the top of the building, where from the angle of elevation of top of a 120 ft tower is 10◦. From a window 6ft below the top of the building, the angle of depression of the base of the tower is 30 ◦. Find out the height of the building and the distance between the tower and the building.

YOUR TURN!!!1. Pick a partner!

2. Calculate the height of the giraffe using TRIG!(what measurements do you need to take?)

3. Each group will need• A ruler• A “Clinometer” (protractor with a string)• Paper• Phone (picture)