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kumpel [21]
2 years ago
11

In ΔSTU, the measure of ∠U=90°, TU = 6.6 feet, and US = 2.3 feet. Find the measure of ∠S to the nearest tenth of a degree.

Mathematics
2 answers:
zimovet [89]2 years ago
8 0

Answer:

  70.8°

Step-by-step explanation:

The sides and angles are related in a right triangle such that ...

  Tan = Opposite/Adjacent

  tan(S) = UT/US = 6.6/2.3

The inverse tangent function is used to find the angle from its value:

  ∠S = arctan(6.6/23)

  ∠S ≈ 70.8°

LiRa [457]2 years ago
8 0

Answer:

70.8

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.
satela [25.4K]

Answer:

t=2.47\ s  

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

h(t) = h_0 + s_0t -16t ^ 2

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We know that the initial height is:

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s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s

So the equation is:

h (t) = 4.5 + 37.62t -16t ^ 2

The ball hits the ground when when h(t) = 0

So

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We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

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t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}

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Therefore

t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}

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We take the positive solution.

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2 years ago
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