Question

Please help. Find the length of the side labeled x. Round intermediate values ​​to the nearest thousandth. Use the rounded values ​​to value. Round your final answer to the nearest tenth

Answer 1

19)18.7 20)7.9
21)13.3 22)102.4

Answer 2

Answer:

18.692

48.344

7.075

101.972

Step-by-step explanation:

19)

$cos23=\frac{BD}{AB}\\\Rightarrow BD=cos23\times 29$

$tan 55=\frac{BD}{DC}\\\Rightarrow tan 55=\frac{cos23\times 29}{x}\\\Rightarrow x=\frac{cos23\times 29}{tan55}\\\Rightarrow x=18.692$

x = 18.692

20)

$tan68=\frac{AD}{BD}\\\Righarrow tan68=\frac{16}{BD}\\\Rightarrow BD=\frac{16}{tan68}$

$cos35=\frac{BD}{BC}\\\Rightarrow cos35=\frac{\frac{16}{tan68}}{x}\\\Rightarrow x=\frac{\frac{16}{tan68}}{cos35}\\\Rightarrow x=48.344$

x = 48.344

21)

$cos62=\frac{BD}{AB}\\\Rightarrow cos62=\frac{BD}{20}\\\Rightarrow BD=20\times cos62$

$tan 37=\frac{DC}{BD}\\\Rightarrow tan 37=\frac{x}{20\times cos62}\\\Rightarrow x=tan37\times 20\times cos62\\\Rightarrow x=7.075$

x = 7.075

22)

$tan24=\frac{AD}{BD}\\\Rightarrow tan24=\frac{47}{BD}\\\Rightarrow BD=\frac{47}{tan24}$

$tan44=\frac{DC}{BD}\\\Rightarrow tan44=\frac{x}{\frac{47}{tan24}}\\\Rightarrow x=tan44\times \frac{47}{tan24}\\\Rightarrow x=101.972$

x = 101.972

A, B, C and D have been taken according to the diagram for all the triangles.