Find the value of x. round the length to the nearest tenth

Mathematics

2 answers:

Olenka [21]3 years ago

6 0

Answer:

777.9 meters

Step-by-step explanation:

From the given figure the angle adjacent to 40 degree is 50 degree

because it forms a right angle triangle (90 degree)

Now we use trigonometric ratio to find out the hypotenuse x

cos = adjacent side / hypotenuse

$cos(50)= \frac{adjacent}{hypotenuse}$

$cos(50)= \frac{500}{x}$

Cross multiply it

$x= \frac{500}{cos(500)}$

x=777.8619

So x= 777.9 meters

Ronch [10]3 years ago

3 0

Answer:

777.9 meters

Step-by-step explanation:

Notice that the angles of the right triangle are 40 and 50 degrees, with the 500 meter side adjacent to the 50 degree angle. Now, we can set up an equation: cos (50 degrees) = 500 / x. Use a calculator to find that the answer is 777.9.

You might be interested in

The daily revenues of a cafe near the university are approximately normally distributed. The owner recently collected a random s

lbvjy [14]

Answer:

The sample size to obtain the desired margin of error is 160.

Step-by-step explanation:

The Margin of Error is given as

$MOE=z_{crit}\times\dfrac{\sigma}{\sqrt{n}}$

Rearranging this equation in terms of n gives

$n=\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2$

Now the Margin of Error is reduced by 2 so the new M_2 is given as M/2 so the value of n_2 is calculated as

$n_2=\left[z_{crit}\times \dfrac{\sigma}{M_2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{\sigma}{M/2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{2\sigma}{M}\right]^2\\n_2=2^2\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4n$