m of ters? 1.8 Trigonometry Review 45. T For the triangle shown in Figure P1.45, what are (a) the length of the unknown side, (b) the tangent of 0, and (c) the sine of o? Ө 9.00 m Ø 6.00 m

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
Problem 11ECP
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#45
me of this
m of
ters?
a
coordinates.
42. V Two points in a rectangula
(2.00 m,
coordinates (5.0, 3.0) and (-3.0, 4.0),
centimeters. Determine the distance between these po
43. Two points are given in polar coordinates by (r, 0)
50.0°) and (1; 0) = (5.00 m, -50.0°), respectively. What is the
distance between them?
44. S Given points (₁, 0₁) and (12, 02) in polar coordinates,
obtain a general formula for the distance between them. Sim-
plify it as much as possible using the identity cos² 0 + sin² 0 = 1.
Hint: Write the expressions for the two points in Cartesian
coordinates and substitute into the usual distance formula.
1.8 Trigonometry Review
45.
T For the triangle shown in Figure P1.45, what are (a) the
length of the unknown side, (b) the tangent of 0, and (c) the
sine of o?
0
9.00 m
Ø
6.00 m
Figure P1.45
46. A ladder 9.00 m long leans against the side of a building. If
the ladder is inclined at an angle of 75.0° to the horizontal,
what is the horizontal distance from the bottom of the ladder
to the building?
Transcribed Image Text:me of this m of ters? a coordinates. 42. V Two points in a rectangula (2.00 m, coordinates (5.0, 3.0) and (-3.0, 4.0), centimeters. Determine the distance between these po 43. Two points are given in polar coordinates by (r, 0) 50.0°) and (1; 0) = (5.00 m, -50.0°), respectively. What is the distance between them? 44. S Given points (₁, 0₁) and (12, 02) in polar coordinates, obtain a general formula for the distance between them. Sim- plify it as much as possible using the identity cos² 0 + sin² 0 = 1. Hint: Write the expressions for the two points in Cartesian coordinates and substitute into the usual distance formula. 1.8 Trigonometry Review 45. T For the triangle shown in Figure P1.45, what are (a) the length of the unknown side, (b) the tangent of 0, and (c) the sine of o? 0 9.00 m Ø 6.00 m Figure P1.45 46. A ladder 9.00 m long leans against the side of a building. If the ladder is inclined at an angle of 75.0° to the horizontal, what is the horizontal distance from the bottom of the ladder to the building?
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