Awoman measures the angle of elevation of a mountaintop as 12.0°. after walking 1.00 km closer to the mountain on level ground, she fi nds the angle to be 14.0°. (a) draw a picture of the problem, neglecting the height of the woman's eyes above the ground. hint: use two triangles. (b) select variable names for the mountain height (suggestion: y) and the woman’s original distance from the mountain (suggestion: x) and label the picture. (c) using the labeled picture and the tangent function, write two trigonometric equations relating the two selected variables. (d) find the height y of the mountain by fi rst solving one equation for x and substituting the result into the other equation.

The chart shows the costs and shipping times for materials that a company needs to build a new product. which describes the best trade-off if the company needs to start building their product within the next two years? they should order the domestic materials because it is always best to choose the fastest shipping time. they should order the imported materials because it is always best to choose the lowest cost for materials. since the shipping time is longer, they should order the domestic materials because the additional cost is worth it to get the materials in time. even though the shipping time is longer, they should order the imported materials because they are less expensive and should arrive in plenty of time to build the product.