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Gekata [30.6K]
3 years ago
10

a boy is standing 180 metres from the base of a tree. the angle of elevation to the top of the tree is 40°. what is the height o

f the tree?​
Mathematics
1 answer:
UNO [17]3 years ago
4 0

Answer:

151

Step-by-step explanation:

tan 40° = x/180

tan 40°*180 = x

0.8391*180 = 151

height = 151m

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The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo
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Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

y\leq 40-x....(1)

y\leq x-20...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

y=-x+40...(3)

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Adding equation (3) and (4) we get

2y=20

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Substitute y=10 in equation (3) we get

10=40-x

x=40-10=30

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

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Substitute y=0 in equation (3)

x=40

Substitute x=0 in equation (4)

y=-20

Substitute y=0 in equation (4)

x=20

Substitute x=0 and y=40 and in equation (1)

40\leq 40

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

-20\leq -20

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

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PLEASE HELP ASAP 30 POINTS ):
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Answer:

c (0,-4)

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-5x+y = -4

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Solve the first equation for y since we are using substitution.

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Add 5x to each side

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y = 5x-4

Substitute this equation y = 5x-4 into the second equation.

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Distribute the -4

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But we still need to find y

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