Step-by-step explanation:
This is known as the triple tangent identity. Start with the fact that the three angles add up to 0.
(x − y) + (z − x) + (y − z) = 0
Subtract two terms to the other side and take the tangent:
x − y = -((z − x) + (y − z))
tan(x − y) = tan(-((z − x) + (y − z)))
Use reflection property:
tan(x − y) = -tan((z − x) + (y − z))
Now use angle sum identity:
tan(x − y) = -[tan(z − x) + tan(y − z)] / [1 − tan(z − x) tan(y − z)]
tan(x − y) = [tan(z − x) + tan(y − z)] / [tan(z − x) tan(y − z) − 1]
tan(x − y) [tan(z − x) tan(y − z) − 1] = tan(z − x) + tan(y − z)
tan(x − y) tan(z − x) tan(y − z) − tan(x − y) = tan(z − x) + tan(y − z)
tan(x − y) tan(z − x) tan(y − z) = tan(x − y) + tan(z − x) + tan(y − z)
Answer: The height of the tree is 64.94ft
Step-by-step explanation:
Using the trigonometry of angles
Tan theta = opposite/adjacent
Tan 33° = height of the tree/100
Height of the tree= tan 33° * 100
= 0.6494*100
= 64.94ft
The height of the tree is 64.94ft
Answer:
585 1/2 ?
Step-by-step explanation:
i dont know if you put the whole question but i simplified 4/8 and got 1/2.
so i guess the answer your looking for is 585 1/2 ...
Y= 8x-9, because I need more characters
Answer:
144
Step-by-step explanation:
The sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946
so you can see the first term larger than 120 is the 144.