Hannah leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground. What's the horizontal distance between the base of the ladder and the wall?
Round your answer to the nearest tenth of a foot if necessary.

7.8 feet

Step-by-step explanation:

We can determine the Horizontal distance using trigonometry ;

Using the relation :

Cosθ = adjacent / hypotenus

Cos 61 = x / 16

x = cos 61 * 16

x = 0.4848096 * 16

x = 7.756

x = 7. 8 feet

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

answer: 0.1,0.85

step-by-step explanation: