A10 meter long ladder rests against a vertical wall so that the distance between the foot of the ladder and the wall is 2 meter. find the angle the ladder makes with the wall and height above the ground at which the upper end of the ladder touches the wall. round your answer to the nearest hundredth of a degree if necessary.

1. The angle ladder makes with the wall is 11.54°

2. The height above the ground at which the upper end of the ladder touches the wall is 9.80 m

Step-by-step explanation:

We see that the side opposite of ∠A and the hypotenuse (side opposite of 90 degree angle) of the triangle are known. The ratio that relates these two sides are SINE.

We know,

Thus we can write:

To find ∠A, we take the inverse sine of . Our answer is:

Thus the angle ladder makes with the wall is 11.54°

Second part of the question asks for the height above the ground at which the upper end of the ladder touches the wall, this is the length of AC.

Given the angle we found, we see that the side AC is adjacent of the angle and we also know the hypotenuse. The ratio that relates these 2 sides is COSINE.

We know,

Thus, we can write:

Cross multiplying and solving for AC, gives us:

Thus, the height above the ground at which the upper end of the ladder touches the wall is 9.80 m

the answer is 3/5

step-by-step explanation:

first divide 24 divided by 8 because that is the least common multiple

then divide 40 by 8

then you will get 3/5.

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.