Cesar is building a shelf at an angle so that it appears to be leaning against the wall. the shelf touches the wall 7 ft. above the floor and the distance between the floor from the wall to the front of the shelf is 1.5 ft. what is the angle the shelf makes with the floor? a. 77.9 degrees. b. 77.6 degrees. c. 12.1 degrees. d. 12.4 degrees. a 15-ft. building casts a shadow of 12 ft. what is the approximate angle of inclination of the sun? a. 51.3 degrees. b. 53.1 degrees. c. 36.9 degrees. d. 19.2 degrees.

1) The angle the shelf makes with the floor is approximately 77.905°. (Choice A)

2) The approximate angle of inclination of the sun is approximately 51.340°. (Choice A)

1) In this case we know that shelf has a vertical height () of 7 feet and a horizontal distance between the floor from the wall to the front of the shelf () is 1.5 feet. The angle (), in degrees, is determined by tangent function:

The angle the shelf makes with the floor is approximately 77.905°. (Choice A)

2) The length of the shadow () is 12 feet and the height of the building () is 15 feet. The angle of inclination of the sun is determined by tangent function:

The approximate angle of inclination of the sun is approximately 51.340°. (Choice A)

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the answer is c)8

step-by-step explanaction:

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier