baileycaffee4346 baileycaffee4346
  • 22-03-2021
  • Mathematics
contestada

In OPQ, the measure of Q=90°, OP = 96 feet, and PQ = 23 feet. Find the measure

of 20 to the nearest degree.

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 26-03-2021

Answer:

[tex]O = 14^\circ[/tex]

Step-by-step explanation:

Given

[tex]\angle Q = 90[/tex]

[tex]OP = 96[/tex]

[tex]PQ = 23[/tex]

Required

Find [tex]\angle O[/tex] to the nearest degree

To calculate O, we make use of:

[tex]sin(O) = \frac{PQ}{PO}[/tex] --- See attachment for triangle

[tex]sin(O) = \frac{23}{96}[/tex]

[tex]sin(O) = 0.2396[/tex]

Take arcsin of both sides

[tex]O = sin^{-1}(0.2396)[/tex]

[tex]O = 14^\circ[/tex] -- approximated

Answer Link

Otras preguntas

Study figure 13 and answer these questions
what is the highest you can get before reaching space and start floating
what did the united states do to expand its territorial interests
What is going on inside atoms of a metal when a metallic salt of that metal is dissolved in water then placed in hot water?
Why did many settlers come to the new england colonies?
The probability that Roberto throws a baseball in the strike zone on one pitch is 0.72. Roberto throws a baseball 3 times in a row. A. Create a probability dist
What are two partial products you could add to find 990x37
when asked about their opinions on smoking. most teens would rather date people who do not smoke? TRUE or FALSE
Show the work of 42% of 16
According to Tiresias, how will Odysseus die? at sea alone among loved ones in a strange land