frostbolss13 frostbolss13

21-09-2021
Mathematics

contestada

Find x to the nearest tenth. Show all your work. Hint: You will need to use the sine, cosine, and tangent to find angle x.

Find x to the nearest tenth Show all your work Hint You will need to use the sine cosine and tangent to find angle x class=

Respuesta :

mhanifa mhanifa

21-09-2021

Answer:

x = 56.9°

Step-by-step explanation:

Solving #2 in steps below

1) Find BC

sin 62° = BC/AC
0.88 = BC/30
BC = 30*0.88
BC = 26.4

2) Find BD

cos 20° = BD/BC
0.93 = BD/26.4
BD = 0.93*26.4
BD = 24.55

3) Find x

tan x = BD/DE
tan x = 24.55/16
tan x = 1.534375
x = arctan 1.534375
x = 56.9°

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