We can form a right triangle where the distance between the ranger's current position and fire is the hypotenuse of the triangle. In a right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse.

Therefore, we have:

$\tan 34^{\circ}=\frac{70}{x}$ , where $x$ is the distance between the base of the tower and the fire.

Solving, we get:

$x=\frac{70}{\tan 34^{\circ}}=103.779267796\approx \boxed{103.78\:\mathrm{ft}}$

8 0

2 years ago

Six friends went to a hockey game. the price of admission per person was x dollars. four of the friends bought a soda for two do

Alekssandra [29.7K]

6X+ 4x2=6X+8

the answer is 6X+8

4 0

3 years ago

A line has slope 3 and y-intercept (0,6). Which of the following equations is for the line?

Talja [164]

Answer:

y=3x+6

Step-by-step explanation:

3 0

2 years ago

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