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

Precalculus4.1Right Triangle Trigonometry5 Application of Trig

Precalculus4.1 Right Triangle Trigonometry6 #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?

Precalculus4.1 Right Triangle Trigonometry7 #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.

Precalculus4.1 Right Triangle Trigonometry8 # 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?

Precalculus4.1 Right Triangle Trigonometry9 # 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?

Precalculus4.1 Right Triangle Trigonometry10 # 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.

Precalculus4.1 Right Triangle Trigonometry11 # 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.

Precalculus4.1 Right Triangle Trigonometry12 # 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 x o. If the height of the cliff is 17.3 m, then find x o.

Precalculus4.1 Right Triangle Trigonometry13

Precalculus4.1 Right Triangle Trigonometry14 # 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?

Precalculus4.1 Right Triangle Trigonometry15 # 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)