HPC 4 7 LOS and LOC October 29

HPC 4. 7: LOS and LOC October 29, 2019

LOS This is great for AAS, ASA, and the Donkey

LOS for AAS or ASA • Determine third angle of the triangle (remember, all three angles of a triangle add up to 180) • Set up your proportion to find missing side • Set up final proportion to find last side

Practice

The Donkey • There is a possibility of two triangles in a donkey problem • If the given angle is across from the larger of the two given sides, there is only one triangle • If the given angle is across from the smaller of the two sides, there is a possibility of two triangles, you must check for all possibilities

Practice

LOC – SSS and SAS

LOC • If SSS, find the longest side first, then the shortest • After you use SSS or SAS, LOS will be easiest option to help solve for missing pieces

Practice

Area of a Triangle

Practice with Area

Directions and Bearings •

Practice A post is driven in a certain spot. Proceed due east for 300 ft, then proceed S 40 o. E for another 150 ft. Turn direction again S 60 o. W for 400 ft and then back to the post in a straight line. Sketch the figure and find its area.

Practice From an iron post, proceed 500 m northeast to the brook, then 300 m east along the brook to the old mill, then 200 m S 15°E to a post on the edge of Wiggin’s Road, and finally along Wiggin’s Road back to the iron post. Sketch the figure and find its area.

Practice Find the distance across the lake from A to C, to the nearest yard, using the measurements shown in the figure.

Practice You are on a fishing boat that leaves its pier and heads east. After traveling 25 miles, there is a report warning of rough seas directly south. The captain turns the boat and follows a bearing S 40 W for 13. 5 miles. a) At this time, how far are you from the boat’s pier? b) What bearing could the boat have originally taken to arrive at this spot?