Pinkstar3461 Pinkstar3461
  • 26-05-2021
  • Mathematics
contestada

In ΔUVW, the measure of ∠W=90°, VW = 32 feet, and WU = 78 feet. Find the measure of ∠V to the nearest degree.

Respuesta :

nuuk nuuk
  • 27-05-2021

Answer: [tex]67.68^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle W=90^{\circ}[/tex]

[tex]VW=32\ ft[/tex]

[tex]WU=78\ ft[/tex]

from the figure, we can write

[tex]\Rightarrow \tan v=\dfrac{UW}{VW}\\\\\Rightarrow \tan v=\dfrac{78}{32}\\\\\Rightarrow \tan v=2.437\\\Rightarrow v=\tan^-1(2.437)\\\Rightarrow v=67.68^{\circ}[/tex]

Ver imagen nuuk
Answer Link

Otras preguntas

HELP WILL GIVE BRAINLIST FOR MATH ... . . . . . .
simplify (3x + 7) - (4x -2)
How did you get 8square and 6square
Which best explains why a pyramid is used to represent energy flow within an ecosystem? Hint: what happens to available energy as you go up? 1. Because availabl
The training of a forensic nurse is very specialized, finishing with a degree in both nursing and forensics. True False
Which fraction is equivalent to 3
When you categorize your note cards, what can you learn about the Information you've gathered? if you have duplicate information if you have information you don
Speech about the value of school education Points: -Gaining self confidence -Having a good career -Being a role model in society
Does the tallest can always hold the greatest volume? Explain your answer!
If a change in the soil occurred, how could that impact the organisms (consumers) in that ecosystem? Pls explain