angelchabla04 angelchabla04
  • 03-06-2020
  • Mathematics
contestada

In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=65°, and ZX = 4.8 feet. Find the length of YZ to the nearest tenth of a foot.

Respuesta :

angeldfg
angeldfg angeldfg
  • 01-12-2020

Answer:

10.3

Step-by-step explanation:

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\tan X = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{4.8}

tanX=  

adjacent

opposite

​  

=  

4.8

x

​  

 

\tan 65=\frac{x}{4.8}

tan65=  

4.8

x

​  

 

4.8\tan 65=x

4.8tan65=x

Cross multiply.

x=10.2936\approx \mathbf{10.3}\text{ feet}

x=10.2936≈10.3 feet

Type into calculator and round to the nearest tenth of a foot.

X

Y

Z

4.8

10.3

(adjacent to ∠X)

(opp. of ∠X)

(hypotenuse)

65°

Answer Link

Otras preguntas

the Maya, Aztec, Olmec, Toltec, anf zapotec cultures thrived in_____? A.) South america B.) Plateau region C.) Eastern Woodlands D.) Mesoamerica and the caribbe
Is using the option to store passwords using reversible encryption a good security practice? why or why not?
The population of Greenvillie is approximately 75 times the population of fairview. The 3.75 x 10 to the power of 5 people living in Greenvillie. approximately
The johnson act of 1924 favored immigrants from northern and western
Hi lam fatin mahammed an english teacher l require how can advance my skills in language
I dont get it i need help
Name the two phyla of multicellular algae.
Why did the earliest immigration restrictions appear in california?
Answer the question above
Match the following long term effects of tobacco use with the correct body system. Increased risk of bronchitis and emphysema