Exam Review: MAP 4CUnit 1 and 2: Trigonometry and Geometry

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=: ~ 7.g t'Y' 1513. A ladder leansagainst a wall making an angle of 73° with the ground. The ladder's base is 1.17m away

from the wall. (Draw a diagram to help you solve).a) Determine the length of the ladder. b) How high up the walldoes the ladder reach?

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4. A helicopter at altitude 350 m must fly another 658 m before it is over a lake. What is the angle ofdepression to the lake's edge?

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6. Angle C is an angle in a triangle with cos C = 0.1100. Determine all possible measures of angle C. Soe-e o+~V'5;eU

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9. A flagpole is supported by two guy wires on opposite sides. The wires are 35.3 feet and 36.9 feet long andanchored to the ground 56.9 feet apart. What angles do the wires make with the ground? (You are lookingfor both angles.)

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11. A driveway 16 feet wide is shaped like a semicircle. Determine the area of the d~e\e~Nt.!a.lY~~".:::::~==:::..-__ ----/1= La.."Je ~,C - ~M~jt1'.c

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12. A triangular prism is packed in a cylinder for shipping. The cylinder has radius 0.40 m. Both prism andcylinder have length 0.90 m. A cross-section of the shipment is shown. Determine the volume of emptyspace in the cylinder. (This is a cross-section of the cylinder) offt..e r St'd..£ -

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13. A farmer sells wedges of cheese wrapped in plastic. Each wedge is in the shape of a quarter cylinder, with In.radius 18 cm and length 12 cm. Determine the area of plastic needed to wrap each wedge of cheese. CJt1A!if

'" - Rr1U-714. Annabelle uses 14.0 m of fencing to enclose a rectangular dog pen. The dog pen is built next to a house, so

only three sides are fenced in. Determine the dimensions and area of the pen Annabelle can build with thefencing that will give the maximum area.

15. Jenny wants to choose an angle less than 1800 that has negative cosine and positive sine. Ronniesuggests14°. Is he right? If not, can you suggest another angle? Explain your answer.

{~toolbox is shaped like a rectangular prism with a square bottom. Its top and front are transparent.P plastic. The other four faces are made out of 180.0 square inches of sheet metal~ermine ~hemaximum volume and the dimensions of the toolbox that give this volume. Lv ~g ().Ja.-o -/'0 bJ2--

~~.19. a) For each triangle, would you use the Cosine Law or Sine Law to determine the labele en th? Explain ~

your reasoning. ~

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iii)b) Determine the labeled len~ths in the triangles.

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