Calculate the length of the ladder when it reaches these heights on the building wall.

Size: px

Start display at page:

Download "Calculate the length of the ladder when it reaches these heights on the building wall."

Loreen Hamilton
6 years ago
Views:

1 Pthgors Theorem Guie prtie worksheet Questions re trgete t the gres inite 1 Fin the length of the hpotenuse in eh tringle, orret to 3 signifint figures. 9 m 14 m (hpotenuse) 2 = (short sie) 2 + (other short sie) 2 2 = = = 277 = 277 = (write more thn 3 signifint figures from our lultor ) = 16.6 m (3 s.f.) ( then roun our nswer to the require egree of ur) 5.3 m 3 m 7.5 m 7 m 20 mm 1 m 25 mm 1 m 2 An etening ler is ple 9.5 m from the se of uiling. 9.5 m lulte the length of the ler when it rehes these heights on the uiling wll. 4.7 m m m m A

2 Pthgors Theorem Guie prtie worksheet 3 Fin the length of the sie mrke with letter, orret to 3 signifint figures. 2.3 m 5.2 m (short sie) 2 = (hpotenuse) 2 (other short sie) 2 2 = = = = = = 4.66 m (3 sf) 73 mm 2.3 m 4.6 m 55 mm 100 mm 0.8 m 0.5 m 300 mm 4 lulte the height of eh isoseles tringle, orret to the nerest millimetre (1.p.). 2.5 m 2.5 m 20 m 20 m Hint Divie eh isoseles tringle into two ientil right-ngle tringles. 12 m 4.5 m 1.8 m 0.8 m 8 m 8 m 1.8 m 8 m 337B

3 Pthgors Theorem Guie prtie worksheet 5 The top of the lening tower of Pis is out 56.3 m high. The tower is out 56.4 m long. How fr to the right hs the tower lene? 56.3 m 56.4 m The tower hs lene... 6 Kren n just the length of the gu rope to hol the tent pole upright. Tent pole Gu rope 1.2 m Tent Tent peg? How fr from the tent pole is the tent peg when the gu rope is i 3 m ii 2.6 m iii 2.2 m iv 2 m long? i... ii... iii... iv... How long is the gu rope when the tent peg is i 2.5 m ii 3 m iii 1.7 m from the tent pole? i... ii... iii

4 Fining the length of line segment Guie prtie worksheet Questions re trgete t the gres inite 1 Fin the length of eh line segment, orret to 3 signifint figures. For the line segment AB: Differene in -oorintes = 5 1 = 4 Differene in -oorintes = 4 2 = 2 AB 2 = = = 20 AB = 20 = = 4.47 (3 s.f.) A(1,4) 4 2 = = 4 B(5,2) (3,9) B (4,7) F (5,7) A (1,2) D (4,1) 2 0 E... e f K (20,24) 10 G H (8,4) 7 L 0 A J (5,7) 0 5 M A

5 Fining the length of line segment Guie prtie worksheet 2 Fin the length of eh line segment, orret to 1 eiml ple. For the line segment AB: Differene in -oorintes = 3 4 = = 7 Differene in -oorintes = 2 3 = = 5 AB 2 = = = 74 AB = 74 = = 8.6 (1.p.) A ( 4,2) 2 3 = 5 B (3, 3) 3 4 = 7 B (3,5) (1,5) A ( 4,1) D (4, 2)... G ( 5,1) F (2, 2) E ( 6, 6) H (2, 5) B

6 Using trigonometr in right-ngle tringles Guie prtie worksheet Questions re trgete t the gres inite 1 Use our lultor to fin the vlue of the following, orret to 4 eiml ples, where neessr. sin tn os sin e os 1... f tn Use our lultor to fin the vlue of, orret to 1 eiml ple, where neessr. Hint Use the [sin 1 ] ke of our lultor tn = 1... sin = os = sin = 0... e tn = f os = g sin = h tn = 3 lulte the size of eh mrke ngle, orret to 1 eiml ple Hint Use SOHAHTOA B The two sies we know re Ajent (4.2 m) n Aj Hpotenuse (6.3 m), so use os = Hp os = 4.2 = = (press [sin 1 ] to fin ngle ) = 48.2 (1.p.) 6.3 m 4.2 m 1 m 9 mm 2.5 m 7 mm 100 m 75 mm 0.6 m 0.7 m 341A

7 Using trigonometr in right-ngle tringles Guie prtie worksheet 4 Fin the length of eh sie mrke with letter, orret to 3 signifint figures. B is the sie Opposite the ngle 40 n 15 mm is the Opp Ajent sie, so use tn = Aj tn 40 = = = (multipl oth sies 15) = 12.6 m (3 s.f.) 15 mm m 4.2 m m 100 mm B

8 Using trigonometr in right-ngle tringles Guie prtie worksheet 5 Trevor rove from riff to Lees n then flew ue north from Lees to Newstle. Use the otte right-ngle tringles to nswer the following questions. B How fr is Lees i north of riff? Newstle 89 miles Lees ii est of riff? miles riff How fr is Newstle north of riff? Wht is the ering of Newstle from riff? Hint Fin ngle Wht is the istne from riff to Newstle? 341

9 Using trigonometr in right-ngle tringles Guie prtie worksheet 6 Ahme ownloe these plns to mke kite. B m 80 m Use trigonometr to lulte i length ii ngle Use Pthgors Theorem to lulte the perimeter of the kite Hint lulte the hpotenuses n use the smmetr of kite. 341D

3 MENSURATION TASK cm. 8 cm 12 cm. x cm. 30 m. 20 m. 24 m. 40 m

3 MENSURATION TASK cm. 8 cm 12 cm. x cm. 30 m. 20 m. 24 m. 40 m 1 3 MENSURTIN TSK 3.1 Give nswers to one deciml plce if necessry. Find the re of ech shpe elow. ll lengths re in cm. 1. 12 2. 4 10 3. 8 10 8 14 9 4. The re of the prllelogrm is equl to the re of the trpezium.