Question

The angle of elevation to a nearby tree from a point on the ground is measured to be 20∘

Answer 1

$\\ \rm\rightarrowtail cot\theta=\dfrac{B}{P}$

$\\ \rm\rightarrowtail cot20=\dfrac{92}{P}$

$\\ \rm\rightarrowtail P=\dfrac{92}{cot20}$

$\\ \rm\rightarrowtail P=\dfrac{92}{2.7475}$

$\\ \rm\rightarrowtail P=33.49ft$

Answer 2

Answer:

• 33.49 feet

Step-by-step explanation:

This is about the right triangle, where 92 feet side is adjacent leg to 20° angle, x - height.

Use trigonometry to find the height

• x / 92 = tan 20°
• x = 92 tan 20°
• x = 33.49 feet (rounded)