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3 years ago

Can someone please help me with this trigonometry problem. I would highly appreciate it if you did

Mathematics

1 answer:

dexar [7]3 years ago

5 0

Answer:

x ≈ 16.52

Step-by-step explanation:

Use the tangent ratio in the right triangle to find x

tan36° = $\frac{opposite}{adjacent}$ = $\frac{12}{x}$

Multiply both sides by x

x × tan36° = 12 ( divide both sides by tan36° )

x = 12 / tan36° ≈ 16.52 ( to 2 dec. places )

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3 years ago

Read 2 more answers

A ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is h-48t -16t^2.

Marat540 [252]

Answer:

36 feet.

Step-by-step explanation:

We have been given that a ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is $h(t)=-48t -16t^2$ . We are asked to find the maximum height of the ball.

We can see that our given equation is a downward opening parabola, so its maximum height will be the vertex of the parabola.

To find the maximum height of the ball, we need to find y-coordinate of vertex of parabola.

Let us find x-coordinate of parabola using formula $x=-\frac{b}{2a}$ .

$x=-\frac{-48}{2(-16)}$

$x=-\frac{48}{32}$

$x=-\frac{3}{2}$

So, the x-coordinate of the parabola is $-\frac{3}{2}$ . Now, we will substitute $x=-\frac{3}{2}$ in our given equation to find y-coordinate of parabola.

$h(t)=-48t -16t^2$

$h(-\frac{3}{2})=-48(-\frac{3}{2})-16(-\frac{3}{2})^2$

$h(-\frac{3}{2})=-24(-3)-16(\frac{9}{4})$

$h(-\frac{3}{2})=72-4*9$

$h(-\frac{3}{2})=72-36$

$h(-\frac{3}{2})=36$

Therefore, the maximum height of the ball is 36 feet.

3 0

3 years ago

1: 1/2 km equals to how many metres?

VMariaS [17]

1.
km=kilometers
kilo=1000
1 km=1000meters
so
1/2km= 1/2 times 1000=1000/2=500meters

2. 1/4 km=1000/4=250 meters

3. 1/5 km=1000/5=200 meters

4. 2/5 km=2000/5=400 meters

5. 3/4 km=3000/4=750 meters

6. 1/8 km=1000/8=125 meters

7 0

3 years ago

Can someone please help me with this trigonometry problem. I would highly appreciate it if you did​

Can someone please help me with this trigonometry problem. I would highly appreciate it if you did