Answer:
71.764 feet
Step-by-step explanation:
See attached the rough sketch for your reference
Step one;
Given data
The angle of elevation= 25°
From the triangular diagram, we can see that the height of the church is the opposite, while the distance of the person from the church is the adjacent
Step two:
Applying SOH CAH TOA
tan∅= opp/adj
tan 25= opp/154
0.466= opp/154
cross multiply
0.466*154= opp
opp= height of church = 71.764 feet
Answer:
Angle A < Angle C < Angle B
CD<DE<CE
Step-by-step explanation:
Angles and the sides across from them have a specific relationship. Th smaller the angle or openness then the smaller the side. The larger the angle the larger the side. Since Angle A opposite side is 10 it is smaller than Angle B whose opposite side is 20. Since Angle C's opposite side is between the two, you can conclude that Angle A < Angle C < Angle B.
We can do the same for the other triangle knowing Angle D is 61 and Angle DCE is 60 (vertical angle theorem). Since a triangle's angles add to 180 then 180-61-60=59. Angle E is 59 degrees and since it is the smallest will have the smallest side CD. Angle DCE is the next largest and its oppposite side of DE will next followed by CE. You can conclude that CD<DE<CE
Answer:
8
Step-by-step explanation:
137 because it’s the same as the angle given.
Combine like terms.
2x + 6 + 6x - 1
8x + 5
