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4.8 Applications. Involving right triangles. 4.8 Applications. For this section, 3 angles of a triangle are denoted by the letters A, B, and C (C is the right angle) The sides opposite these angles are a, b, and c (c is the hypotenuse). B. a. c. A. C. b. 4.8 Applications.

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4 8 applications

4.8 Applications

Involving right triangles

4 8 applications1
4.8 Applications
  • For this section, 3 angles of a triangle are denoted by the letters A, B, and C (C is the right angle)
  • The sides opposite these angles are a, b, and c (c is the hypotenuse)

B

a

c

A

C

b

4 8 applications2
4.8 Applications
  • Solve the right triangle if:

A = 34.2˚ and b = 19.4

4 8 applications3
4.8 Applications
  • Solve the following right triangles:
  • B = 54˚, c = 15
  • A = 8.4˚, a = 40.5
  • a = 25, c = 35
4 8 applications4
4.8 Applications
  • Find the altitude of the isosceles triangle.

Ѳ = 18˚

b =10 inches

Ѳ

Ѳ

b

4 8 applications5
4.8 Applications
  • Find the altitude of the isosceles triangle.

Ѳ =27˚

b = 11 feet

Ѳ

Ѳ

b

4 8 applications6
4.8 Applications
  • The sun is 20˚ above the horizon. Find the length of a shadow cast by a building that is 600 feet tall.
4 8 applications7
4.8 Applications
  • The length of a shadow of a tree is 125 feet when the angle of elevation of the sun is 33˚. Approximate the height h of the tree.
4 8 applications8
4.8 Applications
  • You’re standing 100 feet from the base of a platform from which people are bungee jumping. The angle of elevation from your position to the top of the platform from which they jump is 51˚. From what height are the people jumping?
4 8 applications9
4.8 Applications
  • An amateur radio operator erects a 75-foot vertical tower for an antenna. Find the angle of elevation to the top of the tower at a point on level ground 50 feet from its base.
4 8 applications10

4.8 Applications

Involving right triangles

trig bearings
Trig & Bearings
  • In navigation, directions are generally given in terms of bearings.
  • A bearing measures the acute angle that a line of sight makes with a fixed north-south line.
slide17

A ship leaves port at noon and heads due west at 20 knots per hour. At 2 pm, the ship changes course to N 54º W. Find the ship’s bearing and distance from the port of departure at 3pm.

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