MATH SOLVE

2 months ago

Q:
# I dont inderstand this at all

Accepted Solution

A:

17] The distance, x, between the farmhouse and water tower will be given by:

Tan θ=opposite/adjacent

adjacent=opposite/tan θ

thus:

x=500/tan 12-500/tan 16

x=500/0.2126-500/0.2868

x=608.61 yd

~609 yd

Answer: D] about 609 yd

18] The angle of depression will be:

tan θ=opposite/adjacent

thus

tan θ=0.5/13

tan θ=0.0385

θ=arctan 0.0385

θ=2.2°

19] This will be evaluated like #17 above.

Tan θ=opposite/adjacent

adjacent=opposite/tan θ

thus

x=95/tan 31-95/tan42

x=95/0.6009-95/0.9004

x=52.598

~53

answer: A] about 53

20] The horizontal length will be calculated as follows:

sin θ=opposite/hypotenuse

opposite=73 m

hypotenuse=177 m

thus

sinθ=73/177

sinθ=0.4124

θ=arcsin 0.4124

θ=24.357~24.4°

Answer: D]24.4°

Tan θ=opposite/adjacent

adjacent=opposite/tan θ

thus:

x=500/tan 12-500/tan 16

x=500/0.2126-500/0.2868

x=608.61 yd

~609 yd

Answer: D] about 609 yd

18] The angle of depression will be:

tan θ=opposite/adjacent

thus

tan θ=0.5/13

tan θ=0.0385

θ=arctan 0.0385

θ=2.2°

19] This will be evaluated like #17 above.

Tan θ=opposite/adjacent

adjacent=opposite/tan θ

thus

x=95/tan 31-95/tan42

x=95/0.6009-95/0.9004

x=52.598

~53

answer: A] about 53

20] The horizontal length will be calculated as follows:

sin θ=opposite/hypotenuse

opposite=73 m

hypotenuse=177 m

thus

sinθ=73/177

sinθ=0.4124

θ=arcsin 0.4124

θ=24.357~24.4°

Answer: D]24.4°