80.4k views
0 votes
A straight driveway is 87.0 ft long, and the top is 11.0 ft above the bottom. What angle does it make with the horizontal? ( Round to the nearest tenth

User Oj
by
8.9k points

1 Answer

0 votes

Let us begin by illustrating the problem using a diagram:

Here we have represented the angle that the driveway makes with the horizontal to be x

Step 1: Label the sides as shown:

Step 2: Using the sides given, find the required angle

The formula that relates the angle, opposite side and hypothenuse side is:


sin\theta\text{ = }(opposite)/(hypothenuse)

Applying the formula:


\begin{gathered} sinx\text{ = }(11)/(87) \\ sin\text{ x = 0.126437} \\ x\text{ }\approx\text{ 7.3}^0 \end{gathered}

Hence, it makes an angle of 7.3 degrees with the horizontal

A straight driveway is 87.0 ft long, and the top is 11.0 ft above the bottom. What-example-1
A straight driveway is 87.0 ft long, and the top is 11.0 ft above the bottom. What-example-2
User Osirisgothra
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories