What is the area of the rectangle? DO NOT ROUND.
1 answer:
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<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.
Option d: Angle A is 30 degrees, BC is 5 units
Option e: AC is 8 units, BC is 6 units
Explanation:
The triangle ABC has a right angle at C.
The length of the hypotenuse is 10 units.
The image of the triangle with this measurement is attached below:
Option a: Angle A is 20 degrees, BC is 2 units
Since, hypotenuse is 10 units, Option a is not correct answer.
Option b: AC is 7 units, BC is 3 units
Since, hypotenuse is 10 units, Option b is not correct answer.
Option c: Angle B is 50 degrees, BC is 4 units
Since, hypotenuse is 10 units, Option c is not correct answer.
Option d: Angle A is 30 degrees, BC is 5 units
Since, hypotenuse is 10 units, Option d is the correct answer.
Option e: AC is 8 units, BC is 6 units
Since, hypotenuse is 10 units, Option e is the correct answer.
Thus, Option d and e are the correct answers.
