Answer :
Final answer:
To solve for JL in a right triangle with an angle of elevation of 55° and side JK measuring 26, we use the cosine of the angle to find that JL is approximately 14.9 units long when rounded to the nearest tenth.
Explanation:
To find JL, we need to consider the right triangle formed by the points J, L, and K where JK is the side opposite to the angle of elevation of 55° and JL is the adjacent side we're trying to find. To solve for JL, we use the cosine function of the given angle which is cos(55°) = JL / JK. Therefore, JL = JK * cos(55°).
Given the value of JK as 26, we calculate JL as follows:
JL = 26 * cos(55°)
JL ≈ 26 * 0.5736 (using a calculator for cos(55°))
JL ≈ 14.9 (rounding to the nearest tenth)
Thus, JL is approximately 14.9 units long.
