Answer:
c
Step-by-step explanation:
Answer:
960.7 ft
Step-by-step explanation:
A right triangle is formed where the distance between Jack and the base of the building is one of the triangles legs and the height of the building plus 5 feet is the other leg (let's call it x). The included angle between the hypotenuse and the distance between Jack and the base of the building is 67°. From definition:
tan(α) = opposite/adjacent
tan(67) = x/400
x = tan(67)*400
x = 965.7 ft
Then, the height of the building is 965.7 ft - 5 ft = 960.7 ft
First convert yards to feet.
1 yard = 3 feet.
100 x 3 = 300 feet long.
53 x 3 = 159 + 1 = 160 feet wide.
Now use the Pythagorean theorem to find the diagonal.
x^2 = 300^3 + 160^2
x^2 = 90000 + 25600
x^2 = 115600
x = √115600
x = 340 feet
Answer:
3/5
Step-by-step explanation:
BC÷EF
6÷10=3/5
AC÷DF
9÷15=3/5
AB÷DE
12÷20=3/5