Answer :
Howard's string, the building's height and Howard's distance from the building form a right angle triangle.
The kite string is the hypotenuse. The height is the perpendicular.
sin∅ = perpendicular / hypotenuse
∅ = sin⁻¹(28/32)
∅ = 61.0°
The kite string is the hypotenuse. The height is the perpendicular.
sin∅ = perpendicular / hypotenuse
∅ = sin⁻¹(28/32)
∅ = 61.0°
Answer:
61
Explanation:
Create a right triangle. The hypotenuse is 32 meters, while the vertical line of the triangle is 28. We are trying to solve the angle created by the hypotenuse and the horizontal line of the triangle. I will label this angle as "Angel A". The hypotenuse is the "hypotenuse" measure of "Angle A", while the vertical length is the "opposite" of "Angle A". Therefore, we will be applying the "Sin Formula" or "SOH". First we take the opposite and create a fraction with the adjacent, the numerator being 28 and the denominator being 32 (28/32). Next we simplify the fraction into 7/8, and then convert it to a decimal: 0.875. With this, we input the inverse of "sin", because we are trying to calculate the degree:arcsin(0.875)=61.044975628. Finally we round our answer to 61, and there you have it. On top of that I can also ensure you this is correct, as I have taken the quiz questions and this was indeed the correct solution.