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8.02 Applications using right triangle trigonometry

Interactive practice questions

The person in the picture sights a paraglider above him.

If the angle the person is looking at is $a$a, find $a$a to two decimal places.

An angle is formed when a person sights a paraglider above him from his horizontal line of sight. A right triangle is formed by the horizontal line of sight, the vertical distance between the person and the paraglider, and the actual distance between the person and the paraglider. The horizontal line of sight forms a $a$aº angle of elevation with the distance between the person and the paraglider. A vertical distance between the paraglider to the person's horizontal line of sight is $11$11 m which represents the opposite side of the angle if elevation. While the horizontal distance between them is $13$13 m which represent the adjacent side of the angle of elevation.
Easy
2min

In the diagram, the slide casts a shadow $5.3$5.3 m along the ground.

The distance between the tip of the shadow and the top of the slide is $8.72$8.72 m.

Find the value of $\theta$θ to two decimal places.

Easy
2min

A boy flying his kite releases the entire length of his string which measures $20$20 m, so that the kite is $10$10 meters above him.

If the angle the string makes with the horizontal ground is $\theta^{\circ}$θ, find $\theta$θ to two decimal places.

Easy
1min

A ladder measuring $1.38$1.38 m in length is leaning against a wall.

If the angle the ladder makes with the ground is $y^{\circ}$y, find $y$y to two decimal places.

Easy
1min
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