Answer:
91
Step-by-step explanation:
Because the equation is equal to 91
Answer:
P≈ 87784.11
Step-by-step explanation:
i don't know, I saw the solution on Delta Math
Set up a proportion:
6 feet over 11 feet long equals x feet over 33 feet long
6/11 = x/33
198 = 11x
x = 18
The height of the tree is 18 feet tall
Answer:
DE ≈ 14.91
Step-by-step explanation:
Make use of the relationships between sides and angles in a right triangle. These are summarized by the mnemonic SOH CAH TOA:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
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The side DE is opposite the angle 19°, so the sine or tangent relation will be involved. The sine relation requires you know hypotenuse EF. The tangent relation requires you know adjacent side DF.
The only common side between triangles CDF and DEF is side DF. That side is opposite the given 61° angle. The given side length (CF = 24) is adjacent to the 61° angle.
This means you have enough information to use these relations:
tan(61°) = DF/CF = DF/24
DF = 24·tan(61°)
and
tan(19°) = DE/DF
DE = DF·tan(19°) = (24·tan(61°))·tan(19°) . . . . . use DF from above
DE ≈ 24(1.804048)(0.344328) ≈ 14.908
The length of DE is about 14.91.
Answer:
18 cm^2
Step-by-step explanation:
The legs of a right triangle are the base and height of the triangle.
Since C is a right angle, AB is the hypotenuse.
AC and BC are the legs and the base and height.
sin 75 = BC/12
BC = 12 sin 75
cos 75 = AC/12
AC = 12 cos 75
area = bh/2 = (12 sin 75)(12 cos 75)/2
area = 18 cm^2