Answer:
Option A -The height of the building is 105 ft
Step-by-step explanation:
to get the height of the building, we calculate using SOH CAH TOA
TOA = OPPOSITE / ADJACENT
Tan 59° = h / 63
Height = tan 59° X (63)
Height = 1.6643 X 63
Height = 104.85
Height = 105 ft
Answer:
$1550.69
Step-by-step explanation:
Deposits get added and withdrawals and bill payments get subtracted from the balance. The new balance is ...
$1349.85 -80 +699.65 -215.70 -53 -49.76 -100.35 = $1550.69
Answer:
b) 4 3/8
Step-by-step explanation:
we know that
12 muffins calls for 1 3/4 cups of flour
using proportion
Find out how much flour will be needed in the mix for a bath of 30 muffins

Convert mixed number to an improper fraction

substitute

convert to mixed number

These are right triangles that will use either sin, cos, or tan, depending upon what you have to work with in regards to the reference angle. The first one has a reference angle of 51 with y being the side opposite it and 12 being the hypotenuse. The sin identity uses the side opposite over the hypotenuse as its formula:

and 12 sin(51) = y and y = 9.325
The second one has the reference angle as the unknown. You could use any of the identities here because you have all the sides of the triangle, but I will use sin again:

and

and

The next one has a referece angle of 13 with 24 being the side adjacent to it and the unknown being the side across from it. You will use the tangent identity here:

and 24 tan(13) = x so x = 5.540
The last one has a reference angle of 20 with the hypotenuse as the unknown x, and the side across from it as 10. Use the sin identity again:

and

and

with x = 29.238
Everything is in regards to the reference angle; you HAVE to be able to identify the reference angle and then how the given sides are related to it.
0.03 x 40... or its either the other way around like 0.02 x 40 lol