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Maths calculators for Class 1–12 · CBSE, ICSE & state boards, UK KS1–A-level, IGCSE, US Common Core & AP — every answer worked out step by step.

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Heights & Distances Calculator: worked out step by step

Angles of elevation and depression with a diagram: the height of a tower, the distance to a boat, a ladder against a wall, and problems with two angles. Exact answers such as 30√3 m for 30°, 45° and 60°. Class 10. Made for Class 10 to 10 (CBSE, ICSE and state boards), UK Year 11 to 11, US Grade 10 to 10.

What you can work out

Worked example

With The angle is an angle of elevation (looking up), Angle θ (degrees) 60, Horizontal distance d 30, Observer's eye height (optional) 0, the answer is height H = 30√3 ≈ 51.96 m. The full working has 4 steps.

Questions about this calculator

What does the Heights & Distances Calculator do?

Angles of elevation and depression with a diagram: the height of a tower, the distance to a boat, a ladder against a wall, and problems with two angles. Exact answers such as 30√3 m for 30°, 45° and 60°. Class 10. It has these parts: One Right Triangle, Two Angles of Elevation, Two Angles of Depression.

Is the Heights & Distances Calculator free?

Yes. Everything on numolve is free to try. numolve Plus adds the full step-by-step working, photo scan, answer keys and PDF worksheets.

Does the Heights & Distances Calculator show the working?

Yes. It shows the working one step at a time, with the formula where there is one. Free users see the first three steps of each solution; numolve Plus shows all of them.

Which classes is it for?

It is made for Class 10 to 10 (CBSE, ICSE and state boards), UK Year 11 to 11, US Grade 10 to 10.

Can I use it on my phone?

Yes. numolve works in any phone browser, and the Get the app button installs it like an app on Android and iPhone.

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