Keith needs to build a bridge to go across a pond. He has been able to collect the following measurements. About how long does this bridge need to be​

Step-by-step explanation:

Hello There!

Basic Concepts

Geometry

Once again we are going to need to use trigonometric ratios to solve for a missing side length (the length of the bridge)

Here are the trigonometric ratios

Sine - Opposite over Hypotenuse

Cosine - Adjacent over Hypotenuse

Tangent - Opposite over Adjacent

For the angle that has a measure of 50 degrees

we are given its adjacent side length and we need to find its opposite

When working with the opposite side length and adjacent side length we use the trigonometric ratio tangent

Knowing which trigonometric ratio we are going to use we have to create an equation

Remember tan = opposite over adjacent

So we plug in the given information and solve for the missing information ( In this case the opposite side length)

Basic Algebra

Now we solve for x

Like always we want to isolate the variable

First we want to get rid of the 10

x is being divided by 10 and the inverse of division is multiplication

So we multiply each side by 10

now we have

finally we plug in 10tan50 into a calculator to get the value of x

we get that x = 11.91753594

Our last step is to round to the nearest tenth

We can conclude that the answer is 11.9

b

step-by-step explanation: