Question

estimation a ramp is being built to a building to help with deliveries. the angle that the bottom of the ramp makes with the ground is 39.6°. estimate the measure of the other acute angle. find the exact measure of the other acute angle. the figure is not drawn to scale. which of the following is a good estimate for the measure of the other acute angle? a. 45° b. 55° c. 50° d. 60 the exact measure of the other acute angle is °. (type an integer or a decimal.)

Explanation:

Step1: Recall triangle angle sum

A right triangle has angles summing to \(180^\circ\), with one right angle (\(90^\circ\)). So the two acute angles sum to \(90^\circ\).

Step2: Calculate the other acute angle

Let the other acute angle be \(x\). We know one acute angle is \(39.6^\circ\), so \(x = 90^\circ - 39.6^\circ\).
\(x = 50.4^\circ\)

Answer:

The exact measure of the other acute angle is \(50.4^\circ\).