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

One inch on a map being equal to one mile in real life (or on the surface of the Earth) is an example of what you might find on a map's _________.A.keyB.compass
Double my tens digit to get my one digit. Doble me and i am less then 50
what fraction is equivalent to 1/3
What is 0.00000008 in scientific notation?
why does the plasma cell have a well developed endoplasmic reticulum with lots of ribosomes
the area of a circle 200 mm in diameter is approximately how many times greater than the area of circle 40 mm in diameter
A __________ is a wide-mouthed body of water close to shore.A.gulfB.bayC.seaD.lake
Find 12 1/2% of 96 men
What is the first land mammal shown to reach the African wet lands
show me the steps for solving this problem how many grams of O2 are required to burn 46.0 grams of C5H12