Question

An asymmetric pyramid has a base in the shape of a kite, with the longer sides of the base measuring 150 m and the shorter sides measuring 120 m. The angle between the two longer sides measures 70 degrees. The angle of elevation of the top of the pyramid, as seen from the vertex between the longer and shorter sides, is 75 degrees. Determine the height of the pyramid to the nearest tenth of a kilometre.

Answer 1

11.1 kilometere

Step-by-step explanation:

hope this help

Answer 2

To find the height of the pyramid, use trigonometry and split the base into two right triangles. Use the tangent function to calculate the height. Round the answer to the nearest tenth of a kilometer.

Step-by-step explanation:

To find the height of the pyramid, we can use trigonometry. Since the base is in the shape of a kite, we can split it into two right triangles. Let's focus on one triangle. We have the opposite side (height of the pyramid), the adjacent side (half of the longer side of the base), and the angle of elevation (75 degrees).

Using the tangent function, we can set up the equation: tan(75) = opposite/adjacent. Solving for the opposite side, we get: opposite = tan(75) * adjacent.

Plugging in the values: opposite = tan(75) * (150/2) = tan(75) * 75.

Calculating this value will give us the height of the pyramid. Round the answer to the nearest tenth of a kilometer.