The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.
He needs to move the ladder 0.1 ft closer to the base of the building.
The situation forms a right angle triangle.
<h3>Right angle triangle</h3>
Right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.
The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;
cos 65° = adjacent / hypotenuse
cos 65° = d / 10
d = 10 × 0.42261826174
d = 4.22618261741
d = 4.2 ft
She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;
cos 65 = d / 9.6
d = 9.6 × 0.42261826174
d = 4.05696
d = 4.1
Therefore, he needs to move the ladder 0.1 ft closer to the building.
learn more on right angle triangle here: brainly.com/question/14988069
The question is a scientific inquiry. The explanation does not fit any of the four.
Answer:
The answer to your question is
sin Ф = 0.731 and sinФ = -0.731; cos Ф 0.682 and cos Ф = -0.682
Step-by-step explanation:
tan Ф = 1.072, 0 < Ф < 2 π, tan Ф is positive, find the solution in the first and third quadrangle.
- tan Ф = opposite side / adjacent side
- 1.072 / 1 = opposite side / adjacent side
- opposite side = 1.072 and adjacent side = 1
Calculate hypotenuse
c² = a² + b²
c² = 1.072² + 1²
c² = 2.149
hypotenuse = c = 1.466
First quadrangle
sin Ф = 1.072 / 1.466 = 0.731
cos Ф = 1 / 1.466 = 0.682
Third quadrangle
sin Ф = -1.072 / 1.466 = -0.731
cos Ф = -1 / 1.466 = -0.682
Answer:
can you show the shapes
Step-by-step explanation:
