Answer:A
Step-by-step explanation:
the answer is A
The distance between the points A to B is 899.9 feet. After rounding off the nearest integer we get 900 feet as the final answer.
Given we know that CD is perpendicular to AD.
The distance between CD is 139 feet.
As from points A the boat's crew measure the angle of elevation to the beacon as 6°
therefore, m∠A = 6°
Another time the angle of elevation is measured from point B which is 19°.
therefore, m∠DBC = 19°
tan 19° = CD/BD
BD = CD/tan19°
BD = 136/tan 19°
now for tan 6° = CD/AD (tangent is opposite over adjacent)
AD = CD/tan 6°
AD = 136/tan 6°
AB = AD ₋ BD
AB = 136/tan 6° ₋ 136/tan 19°
AB = 1295.2 ₋ 395.3
AB = 900 feet
hence the distance from point A to B is 900 feet.
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Answer:
C
Step-by-step explanation:
Use the sine ratio in the left, right triangle to find the common side to both triangles and the exact values
sin60° = 
, cos45° = 
, thus
sin60° = 
= 
= ( cross- multiply )
2 × opp = 21 ( divide both sides by 2 )
opp = 
Now consider the right triangle on the right, using the cosine ratio
cos45° = 
= 
= ( cross- multiply )
x = × 
= 
→ C
Answer:
3/2 mph
Step-by-step explanation:
= 
cross-multiply: 8r = 12
r = 12/8 or 1.5 mph
Answer:
53
Step-by-step explanation:
37+90=127
180-127=53
