Subjects trigonometry

Distance Tan

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Distance Tan


1. The problem asks us to evaluate the expression $$d=\frac{h}{\tan(23.6^\circ)}$$ where $h$ is a variable and $23.6^\circ$ is the angle in degrees. 2. Recall that $$\tan(\theta)$$ is the tangent of angle $$\theta$$ measured in degrees. To find $$d$$, we divide $$h$$ by the tangent of $$23.6^\circ$$. 3. Using a calculator or trigonometric table, find $$\tan(23.6^\circ)\approx 0.4362$$. 4. Substitute this value back into the expression: $$d=\frac{h}{0.4362}$$. 5. Simplify the division: $$d \approx 2.292h$$. 6. Therefore, the distance $$d$$ is approximately $$2.292$$ times the height $$h$$.