Answer:
a=10.8; c=4.3
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees.
Two of the angles are given as 40 deg and 120 deg.
Subtract the measures of both from the sum to get the last angle:
180-40-120=20; ∠C=20°
Using Law of Sines: 
Answer:
Step-by-step explanation:
-2/2
9514 1404 393
Answer:
(b) tan B = 8/6
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relevant relationships:
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
Then angle B is involved in tangent and cosine relationships this way:
tan B = 8/6 . . . . . . matches 2nd choice
cos B = 6/10 . . . . . matches no choices
_____
<em>Additional comment</em>
Both of the offered cosine choices give a cosine value that is greater than 1. The cosine of a real angle is never greater than 1, so those can be rejected immediately.
The answer would be C. 4/3 because 2 time 1/3 would be 2/3 and then you would add y which is 2/3 and you'll get C
Answer:
105.5 ft
Step-by-step explanation:
The tangent ratio is the ratio of the side opposite an angle to the adjacent side in a right triangle. Here, the side opposite the angle is the tower height, and the adjacent side is the distance to the tower. Then the appropriate relationship is ...
tan(38°) = (tower height)/(135 ft)
Multiplying by the denominator gives ...
tower height = (135 ft)·tan(38°) ≈ 105.473 ft
The height of the tower is about 105.5 feet.
