To find the length of the side opposite the angle while knowing the hypotenuse we can use the sine function:
sin(53) = (side opposite angle of 53 degrees) / hypotenuse
sin(53) = x / 24
x = 24 sin(53)
x = 19.16
Hope that helped
hi i know i’m late but to help out any future people, the answer is
Row One: Statement: 3/2=slope Reason: Definition of Slope
Row 2: Statement: 3/2=6/4 Reason: Triangle A is similar to Triangle B
#3) since angle ABC is 115 degrees, to find EBC you simply have to subtract 115 from 90 and the answer is 25 degrees.
#4)DGJ would be 30 degrees because you take 70 minus 40.
#5) a 90 degree angle.
Answer:
328 feet
Step-by-step explanation:
From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)
Step 1
Note that
that 11°50' is just 11 degrees and 50 minutes
60 minutes = 1 degree,
thus 50 minutes = x degree
50/60 degrees
= 0.83°
Hence: 11°50' = 11.83°.
Step 2
We solve using Trigonometric function of tan
tan theta = Opposite/Adjacent
theta = 11.83°
Adjacent = 1568 feet
Opposite = Height of the cliff = x
tan 11.83° = x/1568
Cross Multiply
x = tan 11.83 × 1568
x = 328.429195 feet
Approximately = 328 feet
The height of the cliff is 328 feet
