Short-answer questions 1 Find the length of x to two decimal places. 57 cm x 2 Find the length of the hypotenuse to two decimal places. 39° 104 cm 28° 3 A road rises 15 cm for every 2 m travelled horizontally. 15 cm Ꮎ 2 m Find the angle of slope 0 to the nearest degree. 72 65 4 a Find the sides of a right-angled triangle for which cos 0 = b Hence, find sin 0. and tan e 97 72 22 5 Find the length of side b to two decimal places. 6 Find two possible values for angle C to one decimal place. 7 Find the smallest angle in the triangle shown to one decimal place. A b 17 cm 36° 29° B 15 cm A 51% 35 cm 28 cm B 23 cm B 17 cm 8 A car travelled 30 km east, then travelled 25 km on a bearing of 070°. How far was the car from its starting point? Answer to two decimal places.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Complete Solutions anawers Should be 1. 35.87 cm 2 117.79 cm 3. 4 degrees 4.a)65, 72, 97 or multiples of these 5. 14.02 cm 6. 76.3°, 103.7° 7. A = 40.7° 8. 54.17 km 9.760.7 cm^2 10 27.7 m^2
Short-answer questions
1 Find the length of x to two decimal places.
57 cm
x
2 Find the length of the hypotenuse to two decimal places.
39°
104 cm
28°
3 A road rises 15 cm for every 2 m travelled
horizontally.
15 cm
Ꮎ
2 m
Find the angle of slope 0 to the nearest degree.
72
65
4 a Find the sides of a right-angled triangle for which cos 0 =
b Hence, find sin 0.
and tan e
97
72
22
5 Find the length of side b to two decimal places.
6 Find two possible values for angle C to one decimal place.
7 Find the smallest angle in the triangle shown to one
decimal place.
A
b
17 cm
36°
29°
B
15 cm
A
51%
35 cm
28 cm
B
23 cm
B
17 cm
8 A car travelled 30 km east, then travelled 25 km on a bearing of 070°. How far was
the car from its starting point? Answer to two decimal places.
Transcribed Image Text:Short-answer questions 1 Find the length of x to two decimal places. 57 cm x 2 Find the length of the hypotenuse to two decimal places. 39° 104 cm 28° 3 A road rises 15 cm for every 2 m travelled horizontally. 15 cm Ꮎ 2 m Find the angle of slope 0 to the nearest degree. 72 65 4 a Find the sides of a right-angled triangle for which cos 0 = b Hence, find sin 0. and tan e 97 72 22 5 Find the length of side b to two decimal places. 6 Find two possible values for angle C to one decimal place. 7 Find the smallest angle in the triangle shown to one decimal place. A b 17 cm 36° 29° B 15 cm A 51% 35 cm 28 cm B 23 cm B 17 cm 8 A car travelled 30 km east, then travelled 25 km on a bearing of 070°. How far was the car from its starting point? Answer to two decimal places.
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