Step-by-step explanation:
1. tan x = (8/12) = 2/3
x = 33.69°
2. 2sin30° + 3cos60° - 3tan 45°
using special triangles 30-60-90 & 45-45-90
sin 30 = 1/2
cos 60 = 1/2
tan 45 = 1/1 = 1
so :
2(1/2) + 3(1/2) - 3(1)
1 + 1.5 - 3
= 2.5 - 3
= - 0.5
3.
tan 32 = x / 12
x = 12 tan 32
x = 7.4984 m or 7.5m
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Answers & Comments
Step-by-step explanation:
1. tan x = (8/12) = 2/3
x = 33.69°
2. 2sin30° + 3cos60° - 3tan 45°
using special triangles 30-60-90 & 45-45-90
sin 30 = 1/2
cos 60 = 1/2
tan 45 = 1/1 = 1
so :
2(1/2) + 3(1/2) - 3(1)
1 + 1.5 - 3
= 2.5 - 3
= - 0.5
3.
tan 32 = x / 12
x = 12 tan 32
x = 7.4984 m or 7.5m