Name: _________________________ Date: ___________________________

MCR3U: HW Choice #6
Due: Tuesday, May 22nd, 2007

	Please choose four of the five questions listed.  Please remember to list anyone that you received help from.  Good luck and have a great long weekend!

1) Sinead is repairing the wiring on a radio broadcast tower.  She is in the basket of the repair truck 40m from the tower.  If she looks up at an angle of 42° she can see the top of the tower.  She can see the base of the tower if she looks down at an angle of 32°.  How high is the tower to the nearest tenth of a metre?

2) The posts of a hockey goal are 2.0m apart.  Madison tries to score a goal by shooting the puck along the ice from a point 4.8m from one post and 6.7m from the other.  Within what angle must she shoot the puck?

3) Two search and rescues ships are out at sea looking for a downed aircraft.  The two ships, “James P.” and “Grace” are 108km apart.  “James P.” picks up a signal from the downed aircraft and estimates that it is 95km away.  “James P.” calculates that the angle between the line of sight from “James P.” to “Grace” and the line from “James P.” to the downed aircraft is 36°.  Determine who is closer to the downed aircraft, “James P.” or “Grace”.

4)The distance from Mercury to the sun is 5.89 × 107 km.  The distance from the Earth to the sun is 1.5 × 108 km.  The angle between the lines of sight from the Earth to the sun and from Earth to Mercury is 22°.  At this position, how far is it from Earth to Mercury?

5) Brittany and Miranda are determining the height of a cliff they plan to climb.  They are 18m apart on the same side of the cliff.  Sighting along the same long, Brittany views the top of the cliff at an angle of 23°, and Miranda views the top at an angle of 29°.  How high is the cliff?