Respuesta :
Complete question :
dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, How high does the ladder reach up the side of the building?.
Answer:
24.43 feets
Step-by-step explanation:
Using trigonometry :
Sinθ = opposite / hypotenus
Opposite = height, h
Hypotenus = 26
Sin 70° = h / 26
0.9396926 * 26 = h
height, h = 24.43 feets
The sine rule is the ratio of the height and hypotenuse. Then the height of the wall is 24.43 ft.
What is a right-angle triangle?
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
Dion places a ladder against the side of his house as shown in the diagram below.
Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, represented by zero.
We have
Hypotenuse (H) = 26 ft
Let h be the height of the la
Then the height of the wall will be given by the sine rule.
[tex]\rm h = H sin \ \theta \\\\h = 26 * sin \ 70^o\\\\h = 24.43 \ ft[/tex]
The height of the wall is 24.43 ft.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177