Acc Geo Homework #17b TRIG WK#4a #17b p.395 #9 Given Trap ...
Acc Geo Homework #17b TRIG WK#4a #17b p.395 #9 Given Trap ...
Acc Geo Homework #17b TRIG WK#4a #17b p.395 #9 Given Trap ...
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<strong>Acc</strong> <strong>Geo</strong> <strong>Homework</strong> <strong>#17b</strong> <strong>TRIG</strong> <strong>WK#4a</strong><br />
<strong>#17b</strong> <strong>p.395</strong> <strong>#9</strong> <strong>Given</strong> <strong>Trap</strong> PQRS<br />
a) Find PQ and SR and verify that PQRS is an isosceles trapezoid.<br />
b) Prove that the diagonals PR and QS are congruent.<br />
p.427 #18 Challenging problem!!!! You can do it!! Hints on diagrams for 2 methods. Choose either one.<br />
Find the height, PB, of a mountain whose base and peak are inaccessible. At point A the angle of elevation<br />
of the peak is 30 degrees. One kilometer closer to the mountain, at point C, the angle of elevation is 35<br />
degrees.<br />
Chapter Review p.429<br />
Problems #2, #3: Check with answers on assignment sheet<br />
7. A 25-ft ladder just reaches a point on a wall 24ft above the ground. How far is the foot of the ladder from<br />
the wall?<br />
8. Find, to the nearest tenth, the altitude to the base of an isosceles triangle whose sides have lengths of 8, 6,<br />
and 8.
<strong>Acc</strong> <strong>Geo</strong> <strong>Homework</strong> <strong>#17b</strong> <strong>TRIG</strong> <strong>WK#4a</strong><br />
9. If the altitude of an equilateral triangle is 8 3 , find the perimeter of the triangle.<br />
10. What is the length of a diagonal of a 2 by 5 rectangle?<br />
11. In the trapezoid shown, find RS.<br />
12. <strong>Given</strong>: TVWX is an isosceles trapezoid.<br />
TX = 8, VW = 12, ∠ V = 30°<br />
Find: TV and TZ<br />
13. Find the diagonal of a rectangular solid whose dimensions are 4, 3, and 12. (Draw a diagram and assign<br />
values. It doesn’t matter how you assign the values – everyone’s final answer will be the same!)
<strong>Acc</strong> <strong>Geo</strong> <strong>Homework</strong> <strong>#17b</strong> <strong>TRIG</strong> <strong>WK#4a</strong><br />
14. <strong>Given</strong>: The regular square pyramid shown,<br />
PR = 20, PS = 25<br />
Find: The perimeter of base JKMO<br />
15. In the rectangular solid shown, find AG to the nearest tenth if DC = 12, CG = 7, and AD = 4.<br />
16. <strong>Given</strong>: AC ⊥ CB, DE||CB AC=15, AB=17, DE=4<br />
Find: a) CB c) AE<br />
24b) Find y.<br />
b) AD d) EB
<strong>Acc</strong> <strong>Geo</strong> <strong>Homework</strong> <strong>#17b</strong> <strong>TRIG</strong> <strong>WK#4a</strong><br />
28. Follow the treasure map of Captain Zig Zag to see how far the treasure is from the old stump.<br />
From the ol’ pirate<br />
stump take ye 30<br />
paces north, 6 paces<br />
west, and then<br />
another 25 paces<br />
north, and there ye<br />
find my treasure.<br />
29. <strong>Given</strong>: Kite KITE with right angles KIT and KET<br />
KP = 9, TP = 4<br />
32. <strong>Given</strong>: Angle C is a right angle<br />
E is the midpoint of AC<br />
F is the midpoint of BC<br />
AF = 41, BE = 2 26<br />
Find: AB<br />
33. The altitude to the hypotenuse of a right triangle divides the hypotenuse in the ratio 4:1. What is<br />
the ratio of the legs of the triangle?<br />
35. Find the edge of a cube whose diagonal is 7 3 .