DOUBLE POINTS! PLEASE HELP!! (Images attached
7. Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
8. Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale.
Answering either one would help so much. :) giving brainliest!

DOUBLE POINTS PLEASE HELP Images attached 7 Find the value of x Round to the nearest tenth The diagram is not drawn to scale 8 Find the value of x Round the len class=

Respuesta :

Answer:

x = 2879.4 m

Step-by-step explanation:

There is only one picture, so we can only solve one problem.

The angle outside the triangle is 10.  The two angles form a 90 degree angle, so the angle inside the triangle is 80.

Since the triangle is a right triangle, we can use

cos theta = adjacent/ hypotenuse

cos (80) = 500/x

Multiply by x

x cos(80) = 500

Divide by cos(80)

x = 500/cos(80)

x=2879.385242

Rounding to the nearest tenth

x = 2879.4 m

Answer:

2880

Step-by-step explanation:

Here we are given a right angled triangle with one exterior known angle and one known side length and we are to find the value of x.

Since the exterior angle is 10 degrees so the remaining angle within the triangle would be 80 degrees.

To find x, we can use cosine.

[tex] cos 80 = \frac { 500 } { x } [/tex]

[tex] x = \frac { 500 } { cos 80 } [/tex]

[tex] x = 2879.4 [/tex]

Rounding this value of x to the nearest tenth we get 2880.

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