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

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 ,

side opposite to /side adjacent to

In ΔABC,

Put

So,

length of the shadow = 6.25 foot

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

168

step-by-step explanation:

i am pretty sure that the answer is 168