аЯрЁБс>ўџ 46ўџџџ3џџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџьЅС'` №Пр!bjbj"9"9 J"@S@Sљ џџџџџџЄЄЄЄЄЄЄЄИ\ \ \ \ h И0 юˆ ˆ ˆ ˆ ˆ c c c ‹       $h†dБ 9Є c c   Б ЄЄˆ ˆ лъ [ [ [  Єˆ Єˆ ‹ [  ‹ [ [ ЄЄ[ ˆ | Авc=cЭ\ % [ ‹ 00 [ ъ/ "ъ[ ъЄ[ 0c ZН @[ § 41 ъc c c Б Б Q c c c 0     ИИИЄ\ ИИИ\ ИИИЄЄЄЄЄЄџџџџ Trigonometry: Word Problems 1. In a right triangle, the leg adjacent to an angle of 23А is 12 cm long. How long is the leg opposite the 23А angle, to the nearest tenth? 2. When a ladder is rested against a tree, the foot of the ladder is 1 m from the base of the tree and forms an angle of 64А with the ground. How far up the tree does the ladder reach, to the nearest tenth of a metre? 3. A graded ramp is to be built to a barn loft. The ramp is to be inclined at an angle of 17А. The floor of the loft is 5 m above ground level. Find the length of the ramp, to the nearest tenth of a metre. 4. Kendra walked diagonally across a rectangular field that is 45 m by 65 m. To the nearest degree, at what angle with respect to the longer side did she walk? 5. A light house sits at the top of a sheer cliff. The top of the lighthouse is 33 m above sea level. The angle of depression to sight a small fishing boat at sea is 24А. How far from the base of the cliff is the fishing boat, to the nearest metre? 6. A kite is 32 m above the ground. The angle the kite makes with the ground is 39А. How long is the kite string, to the nearest metre? 7. At 2 pm Josh’s shadow is 2.5 m long. If Josh is 1.5 m tall find the angle (to the nearest degree) that the sun’s rays make with the ground. 8. "ABC is an isosceles triangle with equal sides of 5 cm. The base of the triangle is 8 cm. Find all three angles of the triangle to the nearest degree. 9. When a road has a 10% gradient, it means that the road rises 10 m for every 100 m of horizontal distance travelled. What is the angle of inclination, to the nearest degree? 10. If you were in a hot air balloon 500 m over Kelowna, BC, at what angle of depression would you look at a point on the ground 800 m horizontally from the balloon? Trigonometry: Word Problems 1. In a right triangle, the leg adjacent to an angle of 23А is 12 cm long. How long is the leg opposite the 23А angle, to the nearest tenth? 2. When a ladder is rested against a tree, the foot of the ladder is 1 m from the base of the tree and forms an angle of 64А with the ground. How far up the tree does the ladder reach, to the nearest tenth of a metre? 3. A graded ramp is to be built to a barn loft. The ramp is to be inclined at an angle of 17А. The floor of the loft is 5 m above ground level. Find the length of the ramp, to the nearest tenth of a metre. 4. Kendra walked diagonally across a rectangular field that is 45 m by 65 m. To the nearest degree, at what angle with respect to the longer side did she walk? 5. A light house sits at the top of a sheer cliff. The top of the lighthouse is 33 m above sea level. The angle of depression to sight a small fishing boat at sea is 24А. How far from the base of the cliff is the fishing boat, to the nearest metre? 6. A kite is 32 m above the ground. The angle the kite makes with the ground is 39А. How long is the kite string, to the nearest metre? 7. At 2 pm Josh’s shadow is 2.5 m long. If Josh is 1.5 m tall find the angle (to the nearest degree) that the sun’s rays make with the ground. 8. ЈЉЊО ю я „юя№ё р!ѓяыяычыуыуяуяпѓяняUh‚~3h QXhWv\hяXˆhьh^hьh^hьh^5OJQJЊЋ… † T U ѕ і я № x y  .0HIя№ё ›œv§§§§§§§§§§§§§§§§§§§§§§§јјјјјgdьh^р!ўvwEFцчрсijљњ.0 ’ о!р!њњњњњњњњњњњњњњњњјgdьh^"ABC is an isosceles triangle with equal sides of 5 cm. The base of the triangle is 8 cm. Find all three angles of the triangle to the nearest degree. 9. When a road has a 10% gradient, it means that the road rises 10 m for every 100 m of horizontal distance travelled. What is the angle of inclination, to the nearest degree? 10. If you were in a hot air balloon 500 m over Kelowna, BC, at what angle of depression would you look at a point on the ground 800 m horizontally from the balloon? 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