Trigonometry

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.

Easy

Approx 2 minutes

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.

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

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

A ladder measuring $1.95$1.95 m in length is leaning against a wall.

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

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Solve problems involving the measures of sides and angles in right triangles in real life applications, using the primary trigonometric ratios and the Pythagorean theorem.