Applications of Trigonometry

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 
• 15 ft 
• 26 ft 
• 30 ft 

What is the correct equation to solve for x?

• tan (45) = x/13
• cos (45) = x/13
• sin (45) = 13/x
• sin (45) = x/13

 Find side AB?

• 20 m
• 5 m
• 11.54 m
• 8.66 m

Say 'TRUE' or 'FALSE'
If the length of the shadow of tower is increasing, then the angle of elevation of the sun is also increasing

• TRUE
• FALSE

The ratio of the length of the pole and its shadow is 1 : √3.  The angle of elevation of the sun is ____

• 30°
• 60°
• 45°
• 90°

The length of the shadow of a 4 m high vertical pole on the level ground at an instant when the sun elevation is 60° is___

• 2 m
• 4√3 m
• 4⁄√3 m 
• 4 m

A 1.5m tall boy stands at a distance of 45 m from a tower. The angle of elevation from his eyes to the top of the tower is 30 degrees . Find the height of the tower.

•  $\left(1.5\ +\ 15\sqrt{3}\right)\ m$  

•  $15\sqrt{3}\ m$  

•  $\left(15\sqrt{3}\ -\ 1.5\right)m$  

• 46 m 

Say 'TRUE' or 'FALSE'
In a right triangle, if two acute angles are equal then the length of hypotenuse is √2 times the length of each side 

• TRUE
• FALSE

The height of a tree is square root 3 times the length of its shadow. Find the angle of elevation of the sun

• 30⁰

• 60⁰

• 45⁰

• None of these

Tags

Application to trigonometry

The upper part of a tree, broken over by the wind, makes an angle of 45^o with the ground and the distance from the root to the point where the top of the tree touches the ground is 15 m. At What height above the ground the tree is broken .

• 45 m

• 30 m

• 15 m

• 60 m

Tags

Application to trigonometry