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
Answer:3920
Step-by-step explanation:
If you first mutiply 9x0 then 9x8 then 0x4 and 0x8 and add all the answers you get 3920
Answer:
78
Step-by-step explanation:
M∠C = m∠F, There are different additional facts that would guarantee the triangles are similar. One is if you are told that the length of AB is twice the length of DE. Another is if angle C is congruent to angle F. You only need one of the two facts above. Are you given choices?
-1 (-12 - 9i) + 4i (-12 - 9i)
= 12 + 9i + -48i + 9i^2
= 9i^2 + 39i + 12