Aladder that is 30 ft long needs to reach 27 ft up a building. what should the angle of the vertical be?

64.16^{\circ} or 1.12 radians

Step-by-step explanation:

Given statement : A ladder that is 30 ft long needs to reach 27 ft up a building.

Since, building stands  vertical on the ground , so ladder will make a riaght angle.

So, hypotenuse side = 30 ft.

the side apposite to the angles of the elevation =27 ft

Let x be the angle of elevation.

We know that in a right triangle :-

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet