Answer:
63.44 feet
Step-by-step explanation:
tan(68 degrees)= 85/y
y tan (68 degrees)=85
y=85/tan(68 degrees) ( cross multiply)
y = 34.34 feet
tan (41 degrees)=85/x+y
(x+y)tan(41 degrees)=85
x+y=85/tan 41 degrees
x=85/tan(41 degrees) - y
x= 85/tan (41 degrees)-(34.34) (cross multiply)
Therefore, Travis stepped back 63.44 feet to gain a better view!
Answer: BM = 21.4
Step-by-step explanation:
Considering the given triangle BMS, to determine angle BM, we would apply the sine rule. It is expressed as
m/SinM = s/SinS = b/SinB
Where m, s and b are the length of each side of the triangle and angle M, Angle S and angle B are the corresponding angles of the triangle.
From the information given,
Angle M = 102°
Angle B = 35°
Angle S = 180 - (102 + 35) = 43°
b = MS = 18
s = BM
Therefore
18/Sin 35 = BM/Sin 43
Cross multiplying, it becomes
BMSin35 = 18 × Sin 43
BM × 0.5736 = 18 × 0.6820
0.5736BM = 12.276
Dividing the left hand side and the right hand side of the equation by 0.5736, it becomes
0.5736BM/0.5736 = 12.276/0.5736
BM = 21.4
Answer:
x = 16.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 71 = x /5.7
5.7 tan 71 = x
x=16.55400
Rounding to the nearest tenth
x = 16.6
Answer:
Step-by-step explanation:
