Question

Find the shadow cast of a 10 foot lamp post when the angle of elevation of the sun is 58°. Find the length of the nearest tenth of a foot. please help

Answer 1

Answer:

Length of the shadow = 6.25 foot

Step-by-step explanation:

Given: A lamp post is of 10 foot

To find: length of the shadow cast of a lamp post when the angle of elevation of the sun is 58°

Solution:

Trigonometric ratios explain the relationship between the angles and sides of the triangle.

For any angle $\theta$,

$tan\theta=$ side opposite to $\theta$/side adjacent to $\theta$

In ΔABC,

$tanC=\frac{AB}{BC}$

Put $AB=10\,\,foot\,,\,\angle C=58^{\circ}$

$tan58^{\circ}=\frac{10}{BC}\\BC=\frac{10}{tan58^{\circ}}\\=\frac{10}{1.6}\\=6.25\,\,foot$

So,

length of the shadow = 6.25 foot