A $5.7 m$ long ladder is leaning against a wall. The wall stands perpendicular to the ground. The base of the ladder is $1.5 m$ away from the wall.
Work out the size of the acute angle that the ladder makes with the ground. Give your answer in degrees to 1 d.p.

Answer

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Answer

Use the tangent function to find the angle between the ladder and the ground: $angle = \arctan (\frac{b}{a})$ . Convert the angle from radians to degrees and round to 1 decimal place. $74.7$ degrees.

Steps

Step 1 ：Use the Pythagorean theorem to find the height of the ladder on the wall: $b^{2} = c^{2} - a^{2}$ , where $a = 1.5$ and $c = 5.7$ . Calculate $b$ as the square root of $b^{2}$ .

Step 2 ：Use the tangent function to find the angle between the ladder and the ground: $angle = \arctan (\frac{b}{a})$ . Convert the angle from radians to degrees and round to 1 decimal place. $74.7$ degrees.

A 5.7 m long ladder is leaning against a wall. The wall stands perpendicular to the ground. The base of the ladder is 1.5 m away from the wall.Work out the size of the acute angle that the ladder makes with the ground. Give your answer in degrees to 1 d.p.

Answer

Popular Problems

A $5.7 m$ long ladder is leaning against a wall. The wall stands perpendicular to the ground. The base of the ladder is $1.5 m$ away from the wall.
Work out the size of the acute angle that the ladder makes with the ground. Give your answer in degrees to 1 d.p.