Question

find the value of x to the nearest whole degree.

10 the students in mr. allens class used a device to measure the angle of elevation from their location (i on the ground) to the top of the school building. their distance from the base of the building was 100 feet. the angle of elevation from the ground to the top of the building was 43°. find the height of the building. show all work. draw and label your diagram.

1. a large totem pole in the state of washington is 100 feet tall. at a particular time of day, the totem pole casts a 249 - foot - long shadow. find the measure of ∠a to the nearest degree.

find the value of x. round to the nearest tenth. show all work.

not drawn to scale

12.

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, the cosine of an angle is defined as the adjacent side divided by the hypotenuse. The formula is \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 28^{\circ}\), the adjacent side \(a = 11\), and the hypotenuse is \(x\). So, \(\cos(28^{\circ})=\frac{11}{x}\).

Step2: Solve for \(x\)

Rearrange the formula to solve for \(x\): \(x=\frac{11}{\cos(28^{\circ})}\).
We know that \(\cos(28^{\circ})\approx0.88295\).
Then \(x=\frac{11}{0.88295}\approx12.5\).

Answer:

\(12.5\)