Question

Please Help Me. Work must be shown for this problem. Solve for x. Round answers to the nearest hundredth (2 decimal places).

Answer 1

Answer:

About 188.71 feet

Step-by-step explanation:

The cosine of an angle is equivalent to the adjacent side divided by the length of the hypotenuse. Therefore:

$\cos 58=\dfrac{100}{x} \\\\x=\dfrac{100}{\cos 58}\approx 188.71$

Hope this helps!

Answer 2

Answer:

x = 188.71

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos 58 = 100/x

Multiply by x

x cos 58  = 100

Divide by cos 58

x = 100/cos 58

x =188.7079915

To the nearest hundredth

x = 188.71