nhussain3367 nhussain3367
  • 08-05-2021
  • Mathematics
contestada

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=10°, and EF = 94 feet. Find the length of DE to the nearest tenth of a foot.

Respuesta :

ivycoveredwalls
ivycoveredwalls ivycoveredwalls
  • 08-05-2021

Answer:

541.3 ft

Step-by-step explanation:

The 94 foot side is opposite the 10 degree angle (see attached image), and the hypotenuse is the side you want to find.

The trigonometric ration that uses opposite and hypotenuse is sine.

Sine = opposite / hypotenuse

[tex]\sin{10^circ}=\frac{94}{x}\\\\x \sin{10^\circ}=94\\\\x=\frac{94}{\sin{10^\circ}} \approx 541.3[/tex]

Ver imagen ivycoveredwalls
Answer Link

Otras preguntas

The air flows back through the
Does Apollo have a golden arrow instead of normal ones?
It is alleged that celebrities all over the world feel that media infringes their right to dignity, freedom and privacy. If you were appointed as a South Afric
Human ears have muscles responsible for ear movement, but they are nonfunctional in most humans, unlike in other primates. This is an example of which form of e
solve for x. 30x-20=50
Yesterday 50 bakery customers bought muffins and 11 of those customers bought banana muffins . if 100 customers buy muffins tomorrow , how many would you expe
eight children share 5pizza pies fairly. show three different ways in which they shared the pies.
write an equation to express the value of h+k
Ecstasy, What are the effect of the drug on the family,
Which steps make up the judicial process in the federal court system