brookewilliams1891 brookewilliams1891
  • 01-02-2021
  • Mathematics
contestada

The drawing below represents a 22-foot ladder with its base placed 10 feet from the bottom of a vertical wall.

which value is the best estimate for x?


a.24.3

b.63.0

c.27.0

d.65.6

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 04-02-2021

Answer:

63°

Step-by-step explanation:

To get the value of x we will use the Pythagoras theorem

hyp² = opp²+adj²

Given

hyp is the length of the ladder = 22ft

Adjacent is the distance from the base of the ladder to the wall = 10ft

Angle of elevation = x

Using the SOH CAH TOA identity

Cos theta = adjacent/hypotenuse

Cos x = 10/22

Cos x = 5/11

x = arccos(5/11)

x = arccos(0.4545)

x = 62.96°

Hence the best estimate of x is 63°

Ver imagen abidemiokin
Answer Link

Otras preguntas

What's the other word generous in overlooking insult or injury by others; rising above pettiness
What's the other word generous in overlooking insult or injury by others; rising above pettiness
if Xx8=y is the rule,and the value of x is 4, what is the value of y
Solve the quadratic by factoring 2X²-2X-12=0
if Xx8=y is the rule,and the value of x is 4, what is the value of y
if Xx8=y is the rule,and the value of x is 4, what is the value of y
example of onomatopoeia in the seven ages of man
What's the other word generous in overlooking insult or injury by others; rising above pettiness
What's the other term for: explosive or changing very quickly
What was the major purpose of the Truman Doctrine?