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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.


S 35 e
S 35º E

N

W

E

S


N 80 w
N 80º W

N

W

E

S


N 45 e
N 45º E

N

W

E

S


E 15 s
E 15º S

N

W

E

S



4 8 applications11
4.8 Applications per hour. At 2 pm, the ship changes course to N 54


4 8 applications12
4.8 Applications per hour. At 2 pm, the ship changes course to N 54


4 8 applications13
4.8 Applications per hour. At 2 pm, the ship changes course to N 54


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