Question

4...A skateboard ramp is placed against a 4 foot high wall with the angle of elevation to be 30° with the ground ROUND TO THE NEAREST TENTH OF A FOOT

A...WHAT IS THE LENGTH OF THE SKATEBOARD RAMP

B....HOW FAR AWAY IS THE BASE OF THE SKATEBOARD RAMP WITH THE WALL

Answer 1

A. 8 feet. B 6.9 feet.

Explanation:

We use trigonometry of a right-angled triangle.

A. sin 30 = opposite / hypotenuse

= height of wall / length of the skateboard (x)

= 4 / x

x* sin 30 = 4

x = 4 / sin 30

= 4 / 1/2

= 8 feet (answer).

B . tan 30 = opposite / adjacent (x)

= 4 / x

x tan 30 = 4

x = 4 / tan 30

= 6.9 feet ( to nearest tenth)