First, find the scale factor by dividing the first building's real-life height by its model height.
Now, we'll write an equation to find the model height of the second building.
Here is an equation where represents the real-life height of a building,
represents the scale factor, and
represents the model height of the same building.
Fill in the information we already know.
Divide both sides by .
So, the model height of the second building is inches.
Answer: (a) 36.07km, (b) 253.2°
(c) 19.18km
Step-by-step explanation:
<u>Given:</u>
It is given that the ridge is 360 inches tall.
<u>Assumptions:</u>
Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is inches.
The distance from your eye level to the bottom of the ridge is 427 inches.
Assume the angle A is 60°.
<u>To find the distance from you to your dog.</u>
<u>Solution:</u>
A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.
Assume the hypotenuse of the triangle measures x inches.
To determine the length of the hypotenuse, we determine the cos of the angle.
So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.
