Question

1. A slide 3.5 m long makes an angle of 28° with

the ground. How high is the top of the slide above
the ground?
a. 1.71 m
b. 3.09 m
c. 1.86 m
d. 1.64 m

Answer 1

Answer: Option d.

Explanation:

Draw a right triangle using the data given in the exercise (Observe the picture attached)

Let be "h" the height in meters from the ground to the top of the slide.

You need to use the following Trigonometric Identity:

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

In this case you can identify that:

`\alpha =28\°\\oppossite=h\\hypotenuse=3.5`

Therefore, susbstituting values into
`sin\alpha =(opposite)/(hypotenuse)` and solving for "h", you get:

`sin(28\°) =(h)/(3.5)\\\\(3.5)(sin(28\°))=h\\\\h=1.64`