What is the value of x in the triangle?

enter your answer in the box. round your final answer to the nearest hundredth.

x =

cm
a right triangle. the hypotenuse is labeled as 25 centimeters. the base is labeled as x. the alternate base angles are labeled as right angle and 18 degrees, respectively.

x = 23.78

Step-by-step explanation:

From the information given, we can construct the triangle shown in the attached picture.

With respect to the angle 18, we have the hypotenuse (25) and we want to know the adjacent side (x). Thus, what trigonometric ratio relates adjacent to hypotenuse? COSINE! Thus we can set-up the ratio shown below and compute x.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c