Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

An 18-foot ladder leaning against a wall makes an angle of elevation of 70° with the ground. How far up the wall is the ladder, to the nearest foot?​

Sagot :

Answer:

17 ft

Step-by-step explanation:

An 18-foot ladder leaning against a wall makes an angle of elevation of 70° with the ground. How far up the wall is the ladder, to the nearest foot?​

We solve the above question using the Trigonometric function of Sine

sine theta = Opposite/Hypotenuse

theta = Angle of elevation = 70°

Hypotenuse =Length of the ladder = 18ft

Opposite = Height of the wall = x

Therefore

sin 70 = x/ 18 ft

Cross Multiply

x = sin 70 × 18 ft

x = 16.914467174 ft

Approximately = 17 ft