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Launch Angle for a Target Range

Find the low and high launch angles needed to hit a target at a given range.

Inputs

Results

Low angle20.41348°
High angle69.58652°
Maximum possible range91.77446m

Chart

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How to use the launch angle for a target range calculator

Find the low and high launch angles needed to hit a target at a given range. Enter launch speed, target range in the fields above; the low angle, high angle, maximum possible range are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Low angle (°) = 0.5 × asin(GRAV × rng / (v0 × v0))
High angle (°) = 90-[Low angle]
Maximum possible range (m) = v0 × v0 / GRAV

Variables

  • v0 — Launch speed (m/s)
  • rng — Target range (m)

Worked example

With launch speed = 30 m/s, target range = 60 m, the calculator gives low angle ≈ 20.41348 °; high angle ≈ 69.58652 °; maximum possible range ≈ 91.77446 m.

Frequently asked questions

What is the formula for the launch angle for a target range calculation?

Low angle (°) = 0.5 × asin(GRAV × rng / (v0 × v0)). High angle (°) = 90-[Low angle]. Maximum possible range (m) = v0 × v0 / GRAV. Here v0 is launch speed (m/s), rng is target range (m).

What inputs do I need for the launch angle for a target range calculator?

You need launch speed in m/s, target range in m. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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