Question

A rope with a length of 4 meters is tied from a stake in the ground to the top of a tent. It forms a 20 degree angle with the ground. How tall is the tent?

Answer 1

Answer:
`1.36\ m`

Explanation:

Draw a right triangle where "x" is the height in meters of the tent (Observe the picture attached).

You need to use the following Trigonometric Identity:

`sin\alpha =(opposite)/(hypotenuse)`

In this case, you can identify that:

`\alpha=20\°\\\\opposite=x\\\\hypotenuse=4`

Now you must substitute these values into
`sin\alpha =(opposite)/(hypotenuse)`. Then:

`sin(20\°) =(x)/(4)`

Finally you must solve for "x" in order to find its value.

This is:

`4*sin(20\°)=x\\\\x=1.36`