Question

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

Answer 1

777.9 meters

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.

Answer 2

777.9 meters

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)= (adjacent)/(hypotenuse)`

`cos(50)= (500)/(x)`

Cross multiply it

`x= (500)/(cos(500))`

x=777.8619

So x= 777.9 meters